LCM for 25 and 42
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What's the Least Common Multiple (LCM) of 25 and 42?
Answer
LCM of 25 and 42 is
1,050
First common multiples: 1,050; 2,100; 3,150; …
1,050 is divisible by both: 1,050 ÷ 25 = 42; 1,050 ÷ 42 = 25 — and 42 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 42 and of y/42 by 25.
25 and 42 are coprime (GCF = 1), so their LCM is simply the product: 25 × 42 = 1,050.
25 = 52
42 = 2 × 3 × 7
| Prime | 25 | 42 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | — | 3 | 3 |
| 5 | 52 | — | 52 |
| 7 | — | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 52 × 7 = 1,050
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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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