KVM Compatibility?

I have searched and cannot find anything in Central help or support that talks about how Logmein treats computers connected to KVM. I am trying to maximize office space by reducing the number of monitors taking up desk space. I have already used HDMI dummy plugs that have reduced the monitors down from 2/computer to 1/computer, but I would like to reduce even further to 1 monitor per 2 computers using KVM switches. 

I know that at least 1 monitor must be physically plugged into a computer in order for LogMeIn to work, so will LogMeIn Central recognize a monitor as existing if it is plugged in via a KVM switch? If so, will it do so for both computers at the same time, regardless of which is active on the KVM switch?