Cameron is to appear on the program Wednesday.
Prime minister of the United Kingdom since 2010, he will be in Manhattan this week to take part in the U.N. General Assembly.
Former British Prime Minister Tony Blair has been a guest on the "Late Show" broadcast twice -- Sept. 8, 2009 and Oct. 5, 2010.
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WASHINGTON, June 18 (UPI) --General Motors said it would recall 231,000 model year 2006-07 vehicles due to a short in the driver's door that could spontaneously cause a fire.