Smith cut it to 2-1 at 16:59 on a rebound in front.
Marchand it 2-2 at 1:49 of the second period with a power-play goal from the top of the slot. It was his first goal in 10 games since scoring twice against the San Jose Sharks on Feb. 26.
"It's nice to get one, especially with 'Bergy' being out," Marchand said. "That point of the game, it was nice, but unfortunately we didn't close it out and that's all that matters at the end of the day is if you get the points."
The Wild had a 26-24 edge in hits. Minnesota defenseman Matt Dumba had a game-high six.
"It was intense, a very intense hockey game," Wild coach Dean Evason said. "Lots of chirping. But lots of physicality. There were some big, big hits in that hockey game and we talk all the time about playoff hockey. That was playoff hockey."
Hartman made it 4-2 when he scored into an empty net with five seconds remaining.
"We've just got to focus on what allowed us to eventually come out with a win tonight," Greenway said. "… We've just got to stick to the game plan, keep it simple, stay patient, and find a way to bring that energy every night. It's not easy to do, especially as the regular season comes to the end here. But we've got to continue to stay strong, find the energy, and build off it."
NOTES: Tyson Jost had three hits and played 10:36 in his first game with the Wild. The forward was acquired from the Colorado Avalanche in a trade for forward Nico Sturm on Tuesday. … Zuccarello's assist gave him 61 points (19 goals, 42 assists) in 51 games this season, tying his NHL career high set in 2015-16 in 81 games for the New York Rangers. … Bruins forward Jake DeBrusk played 16:33 in his 300th NHL game.