They also discuss Lloyd Webber's voting as a member of the British House of Lords, and they try to pronounce "Lord Lloyd Webber" properly. Then Colbert asks Lloyd Webber what shows by other composers he wishes he'd written, and the answer may or may not come as a surprise.
"Late Show" airs Monday-Friday at 11:35 PM ET on CBS; check local listings.
Upcoming guests follow:
Nov. 20: Actor Michael Caine; Larry Wilmore; musical performance by Boots; Vulfpeck sitting in with Jon Batiste and Stay Human
Nov. 23: Actor Sylvester Stallone; Ted Koppel; musical performance by My Morning Jacket
Nov. 24: Spike Lee; Carly Simon; musical performance by Justin Bieber
Nov. 25: Gloria Estefan; Navy SEAL Eric Greitens and former Marine Sergeant Jake Wood; chef Daniel Boulud
Nov. 26: Actor Jack Black; CEO of Go Pro Nick Woodman; performance by tap dancer Michelle Dorrance
Nov. 27: Actor Daniel Craig; author Elizabeth Gilbert; interview with and demonstration by Dr. Eugenia Cheng