Kaapo Kakko extended the lead to 3-0 at 1:00 of the second period with a one-timer from in front that deflected in off the skate of Capitals defenseman Martin Fehervary.
The Rangers are 20-0-2 this season when each member of "The Kid Line," Chytil, Kakko and Lafreniere, gets a point.
"They've been unreal this year," Miller said. "This back half they've been really good. Just how they possess the puck and really work teams down in that O-zone. … They're a hard line to play against, and they show why they're all having the years they're having."
Strome pulled the Capitals to within 3-1 at 13:23. He caught Shesterkin leaning and scored from below the goal line with a shot off the goalie's right leg.
"Obviously, our starts haven't been good," Strome said. "It feels like we're down 2-0, 3-0 every game. (We) got to find a way to start better and not be chasing the game. The game's a lot easier when you've got the lead, so we've got to find a way to change that."
Vladimir Tarasenko pushed it to 4-1 at 5:53 of the third period with a wrist shot glove side from the left circle on a rush.