LCM for 25 and 36
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What's the Least Common Multiple (LCM) of 25 and 36?
Answer
LCM of 25 and 36 is
900
First common multiples: 900; 1,800; 2,700; …
900 is divisible by both: 900 ÷ 25 = 36, 900 ÷ 36 = 25 — and 36 and 25 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/25 by 36 and of y/36 by 25.
25 and 36 are coprime (GCF = 1), so their LCM is simply the product: 25 × 36 = 900.
25 = 52
36 = 22 × 32
| Prime | 25 | 36 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | — | 32 | 32 |
| 5 | 52 | — | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 52 = 900
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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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