LCM for 28 and 45
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What's the Least Common Multiple (LCM) of 28 and 45?
Answer
LCM of 28 and 45 is
1,260
First common multiples: 1,260; 2,520; 3,780; …
1,260 is divisible by both: 1,260 ÷ 28 = 45; 1,260 ÷ 45 = 28 — and 45 and 28 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/28 by 45 and of y/45 by 28.
28 and 45 are coprime (GCF = 1), so their LCM is simply the product: 28 × 45 = 1,260.
28 = 22 × 7
45 = 32 × 5
| Prime | 28 | 45 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | — | 32 | 32 |
| 5 | — | 5 | 5 |
| 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 = 22 × 32 × 5 × 7 = 1,260
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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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