2 Logitech cordless keyboard and mouse combos in same room

Hi,

I already have one I use for my laptop, and after recently building a pc to
go in my room as well I want to get another one, but need to know whether
having 2 in the same proximity will mean when I move my laptop mouse the pc
arrow moves as well. Or are they on seperate channels or something to avoid
that happening?

Thanks for any help
Shiva