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                                                                    EXHIBIT 23.2
 
                         INDEPENDENT AUDITORS' CONSENT
 
The Board of Directors
The Hillhaven Corporation:
 
     We consent to incorporation by reference in the Registration Statement on
Form S-4 of Vencor, Inc. of our report dated July 8, 1994 relating to the
consolidated balance sheets of The Hillhaven Corporation and subsidiaries as of
May 31, 1994 and 1993, and the related consolidated statements of operations,
cash flows, and stockholders' equity for each of the years in the three-year
period ended May 31, 1994, and all related schedules, which report appears in
the May 31, 1994 annual report on Form 10-K of The Hillhaven Corporation and to
the reference to our firm under the headings "Selected Historical Consolidated
and Combined Financial Data -- Hillhaven" and "Experts" in the Joint Proxy
Statement/Prospectus.
 
     Our report refers to a change in the method of accounting for income taxes
effective June 1, 1992.
 
                                          KPMG Peat Marwick LLP
 
Seattle, Washington
   
August 1, 1995