LCM for 54 and 56
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What's the Least Common Multiple (LCM) of 54 and 56?
Answer
LCM of 54 and 56 is
1,512
First common multiples: 1,512; 3,024; 4,536; …
1,512 is divisible by both: 1,512 ÷ 54 = 28; 1,512 ÷ 56 = 27 — and 28 and 27 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 28 and of y/56 by 27.
54 = 2 × 33
56 = 23 × 7
| Prime | 54 | 56 | Highest power |
|---|---|---|---|
| 2 | 2 | 23 | 23 |
| 3 | 33 | — | 33 |
| 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 = 23 × 33 × 7 = 1,512
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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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