LCM for 25 and 144
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What's the Least Common Multiple (LCM) of 25 and 144?
Answer
LCM of 25 and 144 is
3,600
First common multiples: 3,600; 7,200; 10,800; …
3,600 is divisible by both: 3,600 ÷ 25 = 144; 3,600 ÷ 144 = 25 — and 144 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 144 and of y/144 by 25.
25 and 144 are coprime (GCF = 1), so their LCM is simply the product: 25 × 144 = 3,600.
25 = 52
144 = 24 × 32
| Prime | 25 | 144 | Highest power |
|---|---|---|---|
| 2 | — | 24 | 24 |
| 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 = 24 × 32 × 52 = 3,600
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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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