Can Dell wireless mouse & keyboard work with multiple universal receivers ?

Hello,

I have a Dell wireless mouse and a keyboard, both of which came with their own receiver. I would like to plug these two receivers into two different machines while being able to use both of the devices on them.  Ideally switching between machines(KVM like) would be nice but I am fine even by typing simultaneously on both of them. 

Is that possible?

I should clarify that both devices support Dell's "Dell Universal Receiver" technology, therefor I can pair both of them with only one dongle at a time. I can actually pair up to 6 devices per dongle.

I am not sure how I can keep them paired with both dongles at all times.

Thank you.