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                                                                    EXHIBIT 23.2
 
                         INDEPENDENT AUDITORS' CONSENT
 
The Board of Directors
Chancellor Media Corporation of Los Angeles:
 
We consent to the use of our reports herein on the following financial
statements: 1) the consolidated balance sheets of Evergreen Media Corporation of
Los Angeles as of December 31, 1995 and 1996 and the related consolidated
statements of operations, stockholder's 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 headings "Experts" and "Selected Consolidated Historical
Financial Data" in the Registration Statement.
 
                                            KPMG Peat Marwick LLP
 
Dallas, Texas
September 23, 1997