LONDON — The London production of “Chicago,” the longest-running revival in West End history, is to shutter Sept. 1 after almost 15 years.Produced by Barry and Fran Weissler, the London incarnation of the revival has grossed £120 million ($186 million). First staged in Gotham’s Encores series before moving to Broadway’s Richard Rodgers theater in November 1996, its West End tenure began almost exactly one year later at the 1,469-seat Adelphi theater. It won the Olivier for Outstanding Musical Production and the 1998 Critics’ Circle Drama Award for Best Musical. The production subsequently transferred to the Cambridge theater in April 2006 and then to its current 700-seat home at the Garrick theater. “Chicago” continues on its U.K. tour and in productions worldwide. Its total gross exceeds $1 billion.