Only LastPass and Avast use anything that might be affected by the browser being 32- or 64-bit.
LastPass, I know for a fact that it's neutral. It will still work just fine.
Avast, I don't know for sure, but I suspect it probably uses architecture-neutral features Chromw provides. So, yes, it will probably work fine.
Or, you know, you could actually try it and see. It's not as if a kitten will die if you do.