I don’t know about you folks, but I’ve always been a bit disappointed by the various techniques for finding the Least Common Multiple (LCM) for a pair of numbers.
While there are several techniques that “work” — by which I mean techniques we can teach to students and have them learn quickly — I’ve known of no technique that makes good intuitive sense. In other words, I’ve known no technique whose underlying principle felt obvious.
Feeling frustrated, I started looking for a technique that would have that undeniable “ring of truth.”
And so, after playing around in my “sandbox of numbers” for quite a while, I’m happy to report that I’ve finally found what I had been looking for.
In today’s post I will show you a way to find the least common multiple that makes sense, at least to me. I hope it will make sense to you as well.