00:01
Today we are trying to find the least common multiple are the lcm of 1 ,000 and 1 ,125.
00:09
Since these are such big numbers, what i like to do is first do the prime factorization of each number to help me get to my lcm.
00:18
So i'm first going to do the prime factorization of 1 ,000.
00:23
I know that 2 times 500 gives me 1 ,000.
00:29
And what i like to do is put a little red stop sign around each of my prime numbers, so i know not to continue factoring them.
00:41
I know two times 250 gives me 500.
00:48
And again, i'm going to put my red stop sign around my prime number.
00:55
I know 250 divided by 2 gives me 125.
01:02
Again, red stop sign.
01:04
I know 5 times 25 gives me 125.
01:12
Red stop sign around that 5.
01:16
And finally, i know that 5 times 5 gives me 25.
01:24
So i put my red stop signs around 5.
01:29
So my prime factorization is going to look like 2 times 2 times 2 times 5...