# What is the LCM of 6and 4?

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The prime factor method works for numbers of any size;

FOr small numbers you should be able to do this mentally.

Run through the multiples of the bigger number until you find one which is divisible by the other number.

There are many common factors of

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write down the multiples of each number then pick out the common ones

multiples of

multiples of

common multiples

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The LCM is 12, but how you can find it for any numbers is explained below.

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Two find the LCM of two numbers (or more) write the numbers as the product of their prime factors. That means find a way to express the number as the product of prime numbers only (like 2, 3, 5, 7, 11 and so on).

4 can be written

6 is

Now look for any prime number that appears in *both* expressions (the 2 in this case).

Keep one of these 2s and all the other numbers (the other 2 in the

Multiply them all together:

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