LCM for 52 and 55
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What's the Least Common Multiple (LCM) of 52 and 55?
Answer
LCM of 52 and 55 is
2,860
First common multiples: 2,860; 5,720; 8,580; …
2,860 is divisible by both: 2,860 ÷ 52 = 55; 2,860 ÷ 55 = 52 — and 55 and 52 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/52 by 55 and of y/55 by 52.
52 and 55 are coprime (GCF = 1), so their LCM is simply the product: 52 × 55 = 2,860.
52 = 22 × 13
55 = 5 × 11
| Prime | 52 | 55 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 5 | — | 5 | 5 |
| 11 | — | 11 | 11 |
| 13 | 13 | — | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 5 × 11 × 13 = 2,860
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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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