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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(Print or Type Responses)

1. Name and Address of Reporting Person * PETERSCHMIDT DAVID   2. Issuer Name and Ticker or Trading Symbol Limelight Networks, Inc. [LLNW] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __X__ Director _____ 10% Owner _____ Officer (give title below) _____ Other (specify below) (Last) (First) (Middle) C/O LIMELIGHT NETWORKS, INC., 222 SOUTH MILL AVENUE, 8TH FLOOR 3. Date of Earliest Transaction (Month/Day/Year) 06/05/2013 (Street) TEMPE, AZ 85281 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 06/05/2013   F(1)   8,497 (1) D $ 2.37 26,978 D   Common Stock 06/06/2013   A(2)   31,271 A $ 0 (3) 58,249 (4) D

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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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

Non-qualified stock option (Right to Buy)

$ 2.39

06/06/2013

A

36,406

(5)

06/06/2023

Common Stock

36,406

$ 0 (3)

36,406

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
PETERSCHMIDT DAVID C/O LIMELIGHT NETWORKS, INC. 222 SOUTH MILL AVENUE, 8TH FLOOR TEMPE, AZ 85281	X

Signatures

David Peterschmidt by: /s/ James R. Todd, Attorney-in-Fact		06/07/2013
**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)	The forfeiture reported in this row represents restricted stock units that were withheld by the Company solely for the purpose of satisfying tax obligations arising upon the automatic vesting of 25,748 restricted stock units.
(2)	The Reporting Person received an aggregate of 31,271 restricted stock units, which, if eligible, shall become fully vested and exercisable on the day prior to the Issuer's 2014 annual shareholder meeting (but in no event later than December 31, 2014), subject to Reporting Person's continued services to the Issuer through such date. Each restricted stock unit represents a contingent right to receive one (1) share of the Issuer's Common Stock.
(3)	$0.00 is used for technical reasons as there is no price for this security until it vests in the case of RSUs, or until it is exercised in the case of stock options.
(4)	This includes 31,271 unvested restricted stock units.
(5)	The option shall be fully vested and exercisable on the day prior to the Issuer's 2014 annual shareholder meeting (but in no event later than December 31, 2014), subject to Reporting Person's continued services to the Issuer through such date.
Remarks: Executed pursuant to the Limited Power of Attorney for Section 16 Reporting Obligations dated June 17, 2009.

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