LCM for 28 and 51
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What's the Least Common Multiple (LCM) of 28 and 51?
Answer
LCM of 28 and 51 is
1,428
First common multiples: 1,428; 2,856; 4,284; …
1,428 is divisible by both: 1,428 ÷ 28 = 51; 1,428 ÷ 51 = 28 — and 51 and 28 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/28 by 51 and of y/51 by 28.
28 and 51 are coprime (GCF = 1), so their LCM is simply the product: 28 × 51 = 1,428.
28 = 22 × 7
51 = 3 × 17
| Prime | 28 | 51 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | — | 3 | 3 |
| 7 | 7 | — | 7 |
| 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 × 7 × 17 = 1,428
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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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