There are multiple ways the Habs can get under the Cap before putting Price on LTIR, below is one of those ways (and probably a way they won’t lose any players).
Currently they are over the Cap by $6,177,916 million with 27 players (as per capfriendly).
They could:
Send Armia to Laval - saving $1,150,000
Send Pearson to Laval - saving $1,150,000
Send Reinbacher to Laval or Europe - saving $950,00
Send Wideman to Laval - saving $762,500
They can then do two paper transactions:
Harris to Laval - saving $1,150,000
RHP to Laval - saving $1,100,000
This puts them $84,548 below the cap. They could then put Price on LTIR and bring Harris and RHP back up. If Dvorak is still injured they could bring Pearson or Armia back up.