LCM for 21 and 32
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What's the Least Common Multiple (LCM) of 21 and 32?
Answer
LCM of 21 and 32 is
672
First common multiples: 672; 1,344; 2,016; …
672 is divisible by both: 672 ÷ 21 = 32, 672 ÷ 32 = 21 — and 32 and 21 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/21 by 32 and of y/32 by 21.
21 and 32 are coprime (GCF = 1), so their LCM is simply the product: 21 × 32 = 672.
21 = 3 × 7
32 = 25
| Prime | 21 | 32 | Highest power |
|---|---|---|---|
| 2 | — | 25 | 25 |
| 3 | 3 | — | 3 |
| 7 | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 25 × 3 × 7 = 672
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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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