LCM for 13 and 22
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What's the Least Common Multiple (LCM) of 13 and 22?
Answer
LCM of 13 and 22 is
286
First common multiples: 286, 572, 858, …
286 is divisible by both: 286 ÷ 13 = 22, 286 ÷ 22 = 13 — and 22 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/13 by 22 and of y/22 by 13.
13 and 22 are coprime (GCF = 1), so their LCM is simply the product: 13 × 22 = 286.
13 — prime
22 = 2 × 11
| Prime | 13 | 22 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 11 | — | 11 | 11 |
| 13 | 13 | — | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 11 × 13 = 286
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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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