00:01
We're being asked to find the least common multiple between 36, 49, and 72.
00:05
And we're being asked to do this by prime factorization.
00:08
So i'm going to start with 36, and i'm going to use a factor tree.
00:12
Well, i know that 6 times 6 is 36.
00:14
Well, i can break 6 up into 2 times 3, and both of those are prime, so that ends those branches.
00:20
And the same thing will happen for this other 6.
00:22
2 times 3 is 6, and they're both prime.
00:24
So i can rewrite 36 as a product of its prime factors, which will give us 2, times 2, times 3, times 3.
00:33
Let's do the same thing with 49.
00:35
Well, 7 times 7 is 49, but both of those are prime.
00:39
So, 49 can be rewritten as 7 times 7.
00:44
And lastly, 72.
00:45
Well, i know that 8 times 9 is 72.
00:48
I can break 8 down to 2 times 4, where 2 is prime, and 4 is 2 times 2.
00:54
And again, 2 is prime...