LCM for 53 and 58
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What's the Least Common Multiple (LCM) of 53 and 58?
Answer
LCM of 53 and 58 is
3,074
First common multiples: 3,074; 6,148; 9,222; …
3,074 is divisible by both: 3,074 ÷ 53 = 58; 3,074 ÷ 58 = 53 — and 58 and 53 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/53 by 58 and of y/58 by 53.
53 and 58 are coprime (GCF = 1), so their LCM is simply the product: 53 × 58 = 3,074.
53 — prime
58 = 2 × 29
| Prime | 53 | 58 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 29 | — | 29 | 29 |
| 53 | 53 | — | 53 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 29 × 53 = 3,074
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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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