Draisaitl scored into an empty net at 19:57 of the third period for the 5-3 final. He has 401 NHL points.
"We had a very good third, had desperation in our game," Blackhawks coach Jeremy Colliton said. "We had some chances and our play was better, but the first two periods were very much up and down and I think there were portions of the first 40 minutes where we were really good and might take control of things. But we weren't sharp all the time [and] they made us pay."
Riley Sheahan scored 1:13 into the first period on a rebound in front to give Edmonton a 1-0 lead. Saad tied it 1-1 at 5:56, converting a cross-crease pass from Kane before Jonathan Toews made it 2-1 with a shorthanded goal at 14:19.
Yamamoto scored on the power play, getting to a loose puck in front at 17:18 to tie it 2-2. Yamamoto has 14 points (seven goals, seven assists) in 15 games since being recalled from Bakersfield of the American Hockey League on Dec. 29.
"Since [Yamamoto] has come up, he just goes and gets pucks, he's all over the ice getting pucks," Nugent-Hopkins said. "I think he surprises a lot of [defensemen] with how quick he is. If he gets beat, all of a sudden he gets right back in there. He has a good stick and creates a lot of opportunities for us.
"With Connor out, you don't replace him, but it was a good night for [Yamamoto] to create a lot of offense."