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                                                                    EXHIBIT 23.2
 
                         INDEPENDENT AUDITORS' CONSENT
 
The Board of Directors
Chancellor Media Corporation:
 
We consent to the incorporation by reference herein of our reports on the
following financial statements: 1) the consolidated balance sheets of Evergreen
Media Corporation and subsidiaries as of December 31, 1995 and 1996 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, 1996; 2)
the combined balance sheets of WMZQ Inc. and Viacom Broadcasting East, Inc. as
of December 31, 1995 and 1996 and the related combined statements of earnings
and cash flows for each of the years in the three-year period ended December 31,
1996; 3) the combined balance sheets of Riverside Broadcasting Co., Inc. and
WAXQ Inc. as of December 31, 1995 and 1996 and the related combined statements
of earnings and cash flows for each of the years in the three-year period ended
December 31, 1996; 4) the balance sheets of KKSF-FM/KDFC-FM and AM (A Division
of the Brown Organization) as of December 31, 1995 and 1996 and the related
statements of earnings and division equity and cash flows for the years then
ended; (5) the balance sheets of WLIT Inc. as of December 31, 1995 and 1996 and
the related statements of earnings and cash flows for each of the years in the
three-year period ended December 31, 1996; (6) the combined balance sheets of
KYSR Inc. and KIBB Inc. as of December 31, 1995 and 1996 and the related
combined statements of operations and cash flows for each of the years in the
three-year period ended December 31, 1996; and (7) the balance sheets of WDRQ
Inc. as of December 31, 1995 and 1996 and the related statements of earnings and
cash flows for each of the years in the three-year period ended December 31,
1996. We also consent to the reference of our firm under the heading "Experts"
in the Registration Statement.
 
                                            KPMG Peat Marwick LLP
 
Dallas, Texas
January 16, 1998