LCM for 25 and 46
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What's the Least Common Multiple (LCM) of 25 and 46?
Answer
LCM of 25 and 46 is
1,150
First common multiples: 1,150; 2,300; 3,450; …
1,150 is divisible by both: 1,150 ÷ 25 = 46; 1,150 ÷ 46 = 25 — and 46 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 46 and of y/46 by 25.
25 and 46 are coprime (GCF = 1), so their LCM is simply the product: 25 × 46 = 1,150.
25 = 52
46 = 2 × 23
| Prime | 25 | 46 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 5 | 52 | — | 52 |
| 23 | — | 23 | 23 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 52 × 23 = 1,150
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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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