How do you find the least common multiple of two numbers using prime factorizations?

Basically you would break down the numbers let's say you start off with 48, 8 times 6 gives you 48 what can go into 8, 2 and 4 then you say what can go into 4 which is 2 and 2 then break down 6, 3 an 2 basically you break it down all the way until you get the prime numbers