LCM for 20 and 51
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What's the Least Common Multiple (LCM) of 20 and 51?
Answer
LCM of 20 and 51 is
1,020
First common multiples: 1,020; 2,040; 3,060; …
1,020 is divisible by both: 1,020 ÷ 20 = 51; 1,020 ÷ 51 = 20 — and 51 and 20 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 51 and of y/51 by 20.
20 and 51 are coprime (GCF = 1), so their LCM is simply the product: 20 × 51 = 1,020.
20 = 22 × 5
51 = 3 × 17
| Prime | 20 | 51 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | — | 3 | 3 |
| 5 | 5 | — | 5 |
| 17 | — | 17 | 17 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 5 × 17 = 1,020
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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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