Smith was busiest in the second period when he turned aside 14 Chicago shots en route to his 26th career whitewash.
Keith Yandle provided a goal and an assist and Radim Vrbata added a power-play goal for the Coyotes, who bypassed Vancouver to take over the second wild card playoff spot in the Western Conference with a second win in three games.
Corey Crawford made 24 saves for the Blackhawks, who were shut out for the first time 127 games stretching back nearly a year.
Aaron Carter is still in love with Hilary Duff
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