Pretty much all computers will run PS and LR, memory is extremely important though or processing photos will be unbearably slow and you won't be able to run more than 2 programs at the same time, a decent sized hard drive is important too, especially if you take RAW images, most important is the monitor, look for one that gives a great resolution and the best true colours. CPU isn't important or gfx cards unless doing 3d graphics or video work.