we can find a multiple by multiplying the numbers together, but to find the least common multiple we...
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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 2Prime factors of 6: 2 X 3
What do they have in common?
Now multiply what you have left2 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 primefactors.
18 27
2 92 3 3
3 9333
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18 = 2 X 3 X 327 = 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.