FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940

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1. Name and Address of Reporting Person * Herdiech Edward K.   2. Issuer Name and Ticker or Trading Symbol LogMeIn, Inc. [LOGM] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Chief Financial Officer (Last) (First) (Middle) C/O LOGMEIN, INC., 320 SUMMER STREET 3. Date of Earliest Transaction (Month/Day/Year) 05/21/2016 (Street) BOSTON, MA 02210 4. If Amendment, Date Original Filed(Month/Day/Year) 6. Individual or Joint/Group Filing(Check Applicable Line) _X_ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person (City) (State) (Zip) Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

1.Title of Security (Instr. 3) 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Common Stock 05/21/2016 05/21/2016 M   1,125 A (1) 5,134 D   Common Stock 05/22/2016 05/22/2016 M   2,024 A (1) 7,158 D   Common Stock 05/24/2016 05/24/2016 S   3,149 (2) D $ 60.2224 (3) 4,009 D   Common Stock 05/23/2016 05/23/2016 M   1,588 A (1) 5,597 D   Common Stock 05/24/2016 05/24/2016 S   1,588 (2) D $ 60.178 (4) 4,009 D

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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)

1. Title of Derivative Security (Instr. 3)

2. Conversion or Exercise Price of Derivative Security

3. Transaction Date (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

4. Transaction Code (Instr. 8)

5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5)

6. Date Exercisable and Expiration Date (Month/Day/Year)

7. Title and Amount of Underlying Securities (Instr. 3 and 4)

8. Price of Derivative Security (Instr. 5)

9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)

10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)

11. Nature of Indirect Beneficial Ownership (Instr. 4)

Code

V

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Restricted Stock Units

(1)

05/21/2016

05/21/2016

F

541

(5)

05/21/2025

Common Stock

541

(6)

4,459

D

Restricted Stock Units

(1)

05/21/2016

05/21/2016

M

1,125

(5)

05/21/2025

Common Stock

1,125

(7)

3,334

D

Restricted Stock Units

(1)

05/22/2016

05/22/2016

F

1,309

(8)

05/22/2024

Common Stock

1,309

(6)

5,358

D

Restricted Stock Units

(1)

05/22/2016

05/22/2016

M

2,024

(8)

05/22/2024

Common Stock

2,024

(7)

3,334

D

Restricted Stock Units

(1)

05/23/2016

05/23/2016

F

1,412

(9)

05/23/2023

Common Stock

1,412

(6)

1,588

D

Restricted Stock Units

(1)

05/23/2016

05/23/2016

M

1,588

(9)

05/23/2023

Common Stock

1,588

(7)

0

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Herdiech Edward K. C/O LOGMEIN, INC. 320 SUMMER STREET BOSTON, MA 02210			Chief Financial Officer

Signatures

Michael J. Donahue, attorney-in-fact		05/24/2016
**Signature of Reporting Person		Date

Explanation of Responses:

*	If the form is filed by more than one reporting person, see Instruction 4(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1)	Each restricted stock unit represents a contingent right to receive one share of the Issuer's common stock.
(2)	Sales made pursuant to a 10(b)5-1 plan adopted by the Reporting Person in accordance with Rule 10(b)5-1 of the Securities Exchange Act of 1934, as amended.
(3)	The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions at prices ranging from $60.01 to $60.34, inclusive. Upon the request of any security holder of the Issuer, or the staff of the Securities and Exchange Commission, full information regarding the number of shares sold at each separate price within the ranges set forth in this Form 4 shall be provided.
(4)	The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions at prices ranging from $60.10 to $60.28, inclusive. Upon the request of any security holder of the Issuer, or the staff of the Securities and Exchange Commission, full information regarding the number of shares sold at each separate price within the ranges set forth in this Form 4 shall be provided.
(5)	The restricted stock units vest in three equal installments over a three-year period commencing on the first anniversary of the date of grant so that 100% of the restricted stock units will be vested as of May 21, 2018. These restricted stock units also provide for accelerated vesting in the event that the Reporting Person's employment is terminated in connection with an acquisition of the Issuer.
(6)	The shares of common stock underlying the restricted stock units reported as disposed herein were retained (but not issued) by the Issuer in satisfaction of tax withholding obligations associated with the vesting of such units.
(7)	The restricted stock units reported as disposed herein were settled for shares of the Issuer's common stock.
(8)	The restricted stock units vest in three equal installments over a three-year period commencing on the first anniversary of the date of grant so that 100% of the restricted stock units will be vested as of May 22, 2017.
(9)	The restricted stock units vested in three equal installments over a three-year period commencing on the first anniversary of the date of grant so that 100% of the restricted stock units vested as of May 23, 2016.

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