Well, last summer I had a lot of time on my hands, and I would stay up late just randomly playing with math and numbers to kill time. After playing around with them long enough, I seem to have come up with a theorem/axiom/postulate (I don't know the terminology). I never really thought that I had come up with anything new until I had a look at my notebook today, and started Googling. Perhaps I wasn't trying the right keywords, but I can't find anything like this online. Now that I think about it, I seem to remember writing a program to prove this true, and it ended up working. I've since reformatted that computer (installed my mom's new OS). Anyways, it's not really a big deal or anything, and I doubt it's really useful, but: "If the absolute value of a minus b is equal to one, then the least common multiple of a and b is equal to ab." or If |a-b| = 1 Then LCM(a,b) = ab I'm sure something like this is already in existence, but I can't seem to find it... Can anybody else?