LCM for 19 and 22
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What's the Least Common Multiple (LCM) of 19 and 22?
Answer
LCM of 19 and 22 is
418
First common multiples: 418; 836; 1,254; …
418 is divisible by both: 418 ÷ 19 = 22, 418 ÷ 22 = 19 — and 22 and 19 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/19 by 22 and of y/22 by 19.
19 and 22 are coprime (GCF = 1), so their LCM is simply the product: 19 × 22 = 418.
19 — prime
22 = 2 × 11
| Prime | 19 | 22 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 11 | — | 11 | 11 |
| 19 | 19 | — | 19 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 11 × 19 = 418
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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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