Least common multiple

least common multiple of 4 and 8.

So, this is our least common multiple (LCM).

Both 10 and 100 is the least common multiple.

least common multiple of 12 and 5 and 15.

So the least common multiple is going to be 40.

Well what's the least common multiple of two and three?

Now, this is one way to find the least common multiple.

And that common denominator used to be the least common multiple of eleven and thirteen

And the common denominator is going to be the least common multiple of 12 and 13.

The least common multiple is just going to be 8 times 5.

So what's the least common multiple of 100, 3, 2, and 100?

So the least common multiple of 12, 5 and 15 is 60.

Well the least common multiple of nine and four is thirty six.

60 is also a common multiple, but it is a bigger one. This is the least common multiple. So this is 30.

This right here is actually the least common multiple of 12 and 20

What is the least common multiple, abbreviated as LCM, of 15, 6 and 10?

So you could rewrite so what's the least common multiple of 9 and 7?

So the least common multiple is going to be because these guys share no common factors other than 1 really.

So we really have to just find the least common multiple between 100 and 300.

So the least common multiple, the smallest multiple that they have in common we see over here. 15 times 2 is 30 and 6 times 5 is 30.

The common denominator of 3 4 and 2 3 is going to be the least common multiple of 4 and 3.

And to figure out the common denominator, you just have to think about the least common multiple of 10 and 100.

So their least common multiple is really just going to be the product of the two.

So we could just find a least common multiple in the traditional way without simplifying first.

They share no factors, so really the least common multiple is going to be their product.

And I got 8 because I said, well, what's the least common multiple of 4 and 8?

So their least common multiple is really just going to be the product of eleven and thirteen

So the smallest LCM... ...so if we only cared about the least common multiple of 15 and 6.

Well, 100 is divisible by 2, so 100 is actually the least common multiple of 100 and 2.

This is a factor of that, so the least common multiple of this and this is just this.

I have found a common multiple it is the smallest multiple they have other common multiples like 48,72 and we can go on but this is their smallest common multiple

And 12 and 13 share no common factors other than 1, so their least common multiple is actually just going to be 12 times 13.

So the LCM is exactly what the word is saying, it is the least common multiple of these numbers.

8 is divisible by both 8 and 4, so that is the least common multiple of 4 and 8, so our common denominator will be 8.

So the least common multiple of 8 and 5 has to have a 5 and three 2's in it.

Well, 12 is divisible by 12, and 12 is also divisible by 2, so 12 is the least common multiple.

It turns out that what we want for, what we'll call the common denominator, it turns out to be the least common multiple of two and three.

So let's think about what that number is, and there's two ways of coming up with that what we could call a least common multiple, the smallest multiple of both 9 and 12 that is common.

So to do that, lets think of the different multiples of 15, 6 and 10. and then find the smallest multiple, the least multiple they have in common.

8 and 5 are not the same denominator so we have to find the least common multiple of these two numbers.

Least common multiple of 28 and 9. Well, to go from 28 to 252, we had to multiply it by 9.

least common multiple has to contain the prime factorization each of these guys, which means it contains each of those numbers.

What we do is we try to make both of them equal to the least common multiple of 9 and 4.

So what is the least common multiple of 2 and 12, or what's the smallest number that's divisible by both of them?