LCM for 56 and 92
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What's the Least Common Multiple (LCM) of 56 and 92?
Answer
LCM of 56 and 92 is
1,288
First common multiples: 1,288; 2,576; 3,864; …
1,288 is divisible by both: 1,288 ÷ 56 = 23; 1,288 ÷ 92 = 14 — and 23 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 23 and of y/92 by 14.
56 = 23 × 7
92 = 22 × 23
| Prime | 56 | 92 | Highest power |
|---|---|---|---|
| 2 | 23 | 22 | 23 |
| 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 = 23 × 7 × 23 = 1,288
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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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