Raanta, who has filled in capably for the injured Corey Crawford during most of December, stopped all 24 shots he faced. The 24-year-old Finn was busiest in the second period with 15 saves.
Saad backed him with first-period goal as the NHL-best Blackhawks improved to 5-0-2 in their last seven games.
Another rookie goaltender, Martin Jones, was saddled with the loss for the Kings despite turning aside 29-of-30 shots.
Los Angeles fell for a third straight time.
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