It was the first time this season the Golden Knights ended the first period with a lead.
Eakin scored for the third time in four games, a shorthanded goal at 2:08 of the second period to make it 2-0.
"Personally, I didn't think it was a terrible game by me, but the second goal, I'd definitely like to have back," Hutton said. [Eakin] just kind of beat me under my arm. It's a save I have to make."
The Golden Knights were 6-for-6 on the penalty kill and have not allowed a power-play goal in their past three games (9-for-9).
"First of all, we have to stay out of the box," Karlsson said. "I think they didn't have too many dangerous chances on the power play. I think we kept them on the outside. They didn't have too many clean break-ins. Just everything was really working."