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                                                                   EXHIBIT 23.2
                         INDEPENDENT AUDITORS' CONSENT
 
The Board of Directors Evergreen Media Corporation:
 
We consent to incorporation by reference in the Registration Statement on Form
S-3 of Evergreen Media Corporation of (a) our report dated February 9, 1996,
except for note 14(b), which is as of February 14, 1996, and note 1(m), which
is as of August 8, 1996, relating to the consolidated balance sheets of
Evergreen Media Corporation and subsidiaries as of December 31, 1994 and 1995
and the related consolidated statements of operations, stockholders' equity,
and cash flows for each of the years in the three-year period ended December
31, 1995, which report appears in the Form 8-K/A dated September 3, 1996 filed
by Evergreen Media Corporation, and (b) our report dated June 28, 1996,
relating to the balance sheet of WEDR, Inc. as of December 31, 1995 and the
related statements of operations and retained earnings and cash flows for the
year then ended, which report appears in the Form 8-K dated August 23, 1996
filed by Evergreen Media Corporation. We also consent to the reference to our
firm under the heading "Experts" in the Prospectus.
 
                                     KPMG Peat Marwick LLP
 
Dallas, Texas 
September 18, 1996
