With Calgary on a power play, Gaudreau carried the puck through the slot and found Lindholm on the right side, where he beat Nashville goaltender Pekka Rinne with a wrist shot on the glove side for his third goal of the season.
The Flames doubled their lead at 5:22 of the second on a power-play goal from Monahan.
Rinne kicked aside Matthew Tkachuk’s shot from the high slot, but the rebound landed right on the tape of Monahan’s stick on the left side, where he had an easy tap-in.
Early in the third, Monahan carried the puck into the Nashville zone on the left side on a 2-on-1 with Mattias Ekholm defending. With Ekholm splayed on the ice, Monahan’s shot hit the Swedish defenceman’s left skate and slid between Rinne’s pads.