LCM for 45 and 52
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What's the Least Common Multiple (LCM) of 45 and 52?
Answer
LCM of 45 and 52 is
2,340
First common multiples: 2,340; 4,680; 7,020; …
2,340 is divisible by both: 2,340 ÷ 45 = 52; 2,340 ÷ 52 = 45 — and 52 and 45 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/45 by 52 and of y/52 by 45.
45 and 52 are coprime (GCF = 1), so their LCM is simply the product: 45 × 52 = 2,340.
45 = 32 × 5
52 = 22 × 13
| Prime | 45 | 52 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | 32 | — | 32 |
| 5 | 5 | — | 5 |
| 13 | — | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 5 × 13 = 2,340
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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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