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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 and subsidiaries 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
   
October 16, 1997