LCM for 24 and 25
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What's the Least Common Multiple (LCM) of 24 and 25?
Answer
LCM of 24 and 25 is
600
First common multiples: 600; 1,200; 1,800; …
600 is divisible by both: 600 ÷ 24 = 25, 600 ÷ 25 = 24 — and 25 and 24 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/24 by 25 and of y/25 by 24.
24 and 25 are coprime (GCF = 1), so their LCM is simply the product: 24 × 25 = 600.
24 = 23 × 3
25 = 52
| Prime | 24 | 25 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 3 | 3 | — | 3 |
| 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 = 23 × 3 × 52 = 600
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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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