LCM for 18 and 22
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What's the Least Common Multiple (LCM) of 18 and 22?
Answer
LCM of 18 and 22 is
198
First common multiples: 198, 396, 594, …
198 is divisible by both: 198 ÷ 18 = 11, 198 ÷ 22 = 9 — and 11 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 11 and of y/22 by 9.
18 = 2 × 32
22 = 2 × 11
| Prime | 18 | 22 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 32 | — | 32 |
| 11 | — | 11 | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 32 × 11 = 198
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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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