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Published byAntony Baker Modified over 8 years ago

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We can find a multiple by multiplying the numbers together, but to find the Least Common Multiple we have to get rid of any factors that the numbers have in common.

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**What’s the LCM of 4 and 6? Multiples of 4: 4, 8, 12, 16, 20, 24 ….**

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**How can we find the LCM without listing multiples**

How can we find the LCM without listing multiples? How can we “get rid of” the factor(s) that 4 and 6 have in common? Use Prime Factors

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**Prime factors of 4: 2 X 2 Prime factors of 6: 2 X 3**

What do they have in common? Get rid of the second one. Now multiply what you have left 2 X 2 X 3 = 12

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Here’s how this works: Find the Least Common Multiple of 18 and 27. 18 27 Find prime factors. 3 9 2 9 3 3 3 2 3 3

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**18 = 2 X 3 X 3 27 = 3 X 3 X 3 Find common factors.**

Get rid of the extras of each repeated factor. Multiply what’s left - 2 X 3 X 3 X 3 = 54

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54 is the Least Common Multiple of 18 and 27.

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