The cast of the new Broadway smash, Disney’s Aladdin is currently in the studio laying down tracks for the Original Cast Recording of the show, to be released by Walt Disney Records digitally on Tuesday, May 27th.  The physical album is set for release on Tuesday, June 17th and will also be available for purchase in-theater.  The Aladdin Original Broadway Cast Recording will be produced by Alan Menken, Michael Kosarin, Frank Filipetti and Chris Montan and executive produced by Kurt Deutsch. Produced by Disney Theatrical Productions, Aladdin features music by Tony Award® and eight-time…