LCM for 6 and 9
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What's the Least Common Multiple (LCM) of 6 and 9?
Answer
LCM of 6 and 9 is
18
First common multiples: 18, 36, 54, …
18 is divisible by both: 18 ÷ 6 = 3, 18 ÷ 9 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/6 by 3 and of y/9 by 2.
6 = 2 × 3
9 = 32
| Prime | 6 | 9 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 3 | 32 | 32 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 32 = 18
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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