LCM for 21 and 46
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What's the Least Common Multiple (LCM) of 21 and 46?
Answer
LCM of 21 and 46 is
966
First common multiples: 966; 1,932; 2,898; …
966 is divisible by both: 966 ÷ 21 = 46, 966 ÷ 46 = 21 — and 46 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 46 and of y/46 by 21.
21 and 46 are coprime (GCF = 1), so their LCM is simply the product: 21 × 46 = 966.
21 = 3 × 7
46 = 2 × 23
| Prime | 21 | 46 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 3 | — | 3 |
| 7 | 7 | — | 7 |
| 23 | — | 23 | 23 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 7 × 23 = 966
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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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