Nugent-Hopkins tied the game 1-1 at 6:16, taking a drop pass from McDavid in the slot and scoring on a wrist shot.
McDavid gave the Oilers a 2-1 lead at 12:14 with a wrist shot from the right face-off circle on the power play, and Zack Kassian scored at 12:42 off a pass from Draisaitl to make it 3-1.
McDavid scored from the slot off a pass from Draisaitl on the power play at 15:51 to make it 4-1.
"We had some looks that we couldn't take advantage off," Burakovsky said. "I think overall, we have to be better. We talked about it before the game, that we have to be hard on those top six [guys] on the other team, and I think we showed too much respect or whatever."
McDavid completed the hat trick and made it 5-1 at 8:32 of the second period with a wrist shot from the right circle.
"Our power play is clicking, and when it's clicking, it's going in," Edmonton coach Dave Tippett said. "We capitalized on some chances. Those guys, if they get chances, they capitalize. The power play was good. I thought the first period was probably our best period, just moving the puck, and we were hungry on it, built a lead, and then pushed it right till the end, which was good."