LCM for 38 and 53
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What's the Least Common Multiple (LCM) of 38 and 53?
Answer
LCM of 38 and 53 is
2,014
First common multiples: 2,014; 4,028; 6,042; …
2,014 is divisible by both: 2,014 ÷ 38 = 53; 2,014 ÷ 53 = 38 — and 53 and 38 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/38 by 53 and of y/53 by 38.
38 and 53 are coprime (GCF = 1), so their LCM is simply the product: 38 × 53 = 2,014.
38 = 2 × 19
53 — prime
| Prime | 38 | 53 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 19 | 19 | — | 19 |
| 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 × 19 × 53 = 2,014
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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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