General :: Compile Linux Kernel For Different Machine?

I am new to kernel development,and I have to compile a kernel with some specific features and then install it on some machines.The problem is that these machines are slow,and hence I want to compile them on a fast desktop once and then install them on the machines.I am following this guide from Ubuntu wiki.

So what I plan to do is, download the source and generate a config file on one of the slow machines, copy both to the faster machine, generate the image on the faster machine and then install it on all the slow machines. The slow machines are almost identical (same cards, processors, OS etc.) but different from the fast machine(different OS and processor). So will this work or not?