Galaxy edge victory, others share points
Leonardo scored the game's only goal, heading in a free-kick from David Beckham after 33 minutes.
Birchall was dismissed in the 53rd minute after clashing with Carlos Ruiz, while Philadelphia also ended the game with ten men after Jack McInerney was dismissed in the last minute.
The four other games finished all square. New York Red Bulls were held 1-1 at home by Houston Dynamo.
Dane Richards put New York in front after 47 minutes and Cameron Weaver levelled three minutes later.
San Jose Earthquakes and Seattle Sounders shared four goals, with Simon Dawkins and Khari Stephenson on target for
Vancouver fight back