The Blackhawks received a conditional pick in 2015.
Carcillo had two goals and an assist in 23 regular-season games for Chicago. The 28-year-old left-winger dressed for four playoff games during the Blackhawks' Stanley Cup run, picking up one assist.
In 333 NHL games, Carcillo has 40 goals, 47 assists and 1,079 penalty minutes.
In Los Angeles, Carcillo reunites with former Philadelphia Flyers teammates Mike Richards and Jeff Carter.