The Avalanche won the series four games to two.
Smyth broke a 1-1 tie at 12:20 of the third period. The goal was his second of the playoffs.
Ben Guite's short-handed goal after an assist by Joe Sakic had given the Avalanche a 1-0 lead at 8:02 of the first period.
Minnesota's Aaron Voros tied it with a goal 36 seconds into the second period, setting the stage for what turned out to be the game-winner by Smyth.
Notable deaths of 2014 [PHOTOS]