If I were to build a 338LM, Edge, RUM, or similar cartridge, I'd rather have an action that was designed for it. This is my opinion and yall can take it for what it is: The remington 700 and the Savage 110 were never designed for intense pressures that these rounds produce. I would want a much stronger action than these two. I'm not saying that either one is a bad action design as they're some of the oldest production actions on the market, just they weren't designed for it.

To my knowledge though, you would have to change the bolt head and barrel to go from 338lm to 338 edge.