LCM for 36 and 53
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What's the Least Common Multiple (LCM) of 36 and 53?
Answer
LCM of 36 and 53 is
1,908
First common multiples: 1,908; 3,816; 5,724; …
1,908 is divisible by both: 1,908 ÷ 36 = 53; 1,908 ÷ 53 = 36 — and 53 and 36 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/36 by 53 and of y/53 by 36.
36 and 53 are coprime (GCF = 1), so their LCM is simply the product: 36 × 53 = 1,908.
36 = 22 × 32
53 — prime
| Prime | 36 | 53 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | 32 | — | 32 |
| 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 = 22 × 32 × 53 = 1,908
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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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