LCM for 45 and 46
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What's the Least Common Multiple (LCM) of 45 and 46?
Answer
LCM of 45 and 46 is
2,070
First common multiples: 2,070; 4,140; 6,210; …
2,070 is divisible by both: 2,070 ÷ 45 = 46; 2,070 ÷ 46 = 45 — and 46 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 46 and of y/46 by 45.
45 and 46 are coprime (GCF = 1), so their LCM is simply the product: 45 × 46 = 2,070.
45 = 32 × 5
46 = 2 × 23
| Prime | 45 | 46 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 32 | — | 32 |
| 5 | 5 | — | 5 |
| 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 × 32 × 5 × 23 = 2,070
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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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