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Published byAntony Baker Modified about 1 year 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 …. Multiples of 6 : 6, 12, 18, 24, 30, 36 …

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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? Now multiply what you have left 2 X 2 X 3 = 12 Get rid of the second one.

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Here’s how this works: Find the Least Common Multiple of 18 and 27. Find prime factors. 1827 2 9 233 39 3 33

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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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