LCM for 33 and 40
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What's the Least Common Multiple (LCM) of 33 and 40?
Answer
LCM of 33 and 40 is
1,320
First common multiples: 1,320; 2,640; 3,960; …
1,320 is divisible by both: 1,320 ÷ 33 = 40; 1,320 ÷ 40 = 33 — and 40 and 33 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/33 by 40 and of y/40 by 33.
33 and 40 are coprime (GCF = 1), so their LCM is simply the product: 33 × 40 = 1,320.
33 = 3 × 11
40 = 23 × 5
| Prime | 33 | 40 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 3 | 3 | — | 3 |
| 5 | — | 5 | 5 |
| 11 | 11 | — | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 3 × 5 × 11 = 1,320
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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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