00:02
All right, so we are trying to find the least common multiple of 60 and 72.
00:06
A least common multiple is the smallest common multiple between two different numbers.
00:12
And we are going to use a method called the prime factorization method, which requires us to find the prime factorization of both numbers first.
00:18
So let's start with 60.
00:20
So i'm first going to break it up into 6 and 10.
00:22
And i'm going to break the 6 up into 2 and 3.
00:25
2 and 3 are both prime numbers so we can circle those.
00:27
We can break 10 into 2 and 5, which are both prime numbers.
00:30
Circle those.
00:32
Moving on to 72, i'm going to break 72 down into 12 and 6.
00:37
Six can be further broken down into 2 and 3, which are both prime numbers so you can circle.
00:41
12 can be broken down into 4 and 3.
00:44
3 is a prime number so we can circle that, and then 4 can be broken down into 2 and 2, which are both prime number so we can circle those.
00:52
Now, since we're using the prime factorization method, when we write our prime factorizations, we have to write them in a very specific orientation in order to find our lcm.
01:01
So let's start with 60, which since it has a smaller number of factors.
01:06
It's going to be two times two times three times five.
01:11
So we're going to do the same thing for 72, except we are going to overlap any common prime factors that 60 also has.
01:19
So 60 has two, two prime factors...