Yes, a Kenmore Elite 796 washer will be compatible will an LG pedestal as long as the washer is 27in wide. Yours should be 27" wide. So, that pedestal will work.
For a 29in model, you'll need this pedestal: sears.com/lg-13.9-in-laundry-pedestal-w-storage-drawer/p-02655793000P?sellerId=SEARS
All pedestals: sears.com/search=washer%20pedestal?levels=Appliances&searsTab=true
(Red pedestals are no longer being manufactured by LG)