LCM for 45 and 76
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What's the Least Common Multiple (LCM) of 45 and 76?
Answer
LCM of 45 and 76 is
3,420
First common multiples: 3,420; 6,840; 10,260; …
3,420 is divisible by both: 3,420 ÷ 45 = 76; 3,420 ÷ 76 = 45 — and 76 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 76 and of y/76 by 45.
45 and 76 are coprime (GCF = 1), so their LCM is simply the product: 45 × 76 = 3,420.
45 = 32 × 5
76 = 22 × 19
| Prime | 45 | 76 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | 32 | — | 32 |
| 5 | 5 | — | 5 |
| 19 | — | 19 | 19 |
— = 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 × 19 = 3,420
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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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