LCM for 3 and 11
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What's the Least Common Multiple (LCM) of 3 and 11?
Answer
LCM of 3 and 11 is
33
First common multiples: 33, 66, 99, …
33 is divisible by both: 33 ÷ 3 = 11, 33 ÷ 11 = 3 — and 11 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/3 by 11 and of y/11 by 3.
3 and 11 are coprime (GCF = 1), so their LCM is simply the product: 3 × 11 = 33.
3 — prime
11 — prime
| Prime | 3 | 11 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 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 = 3 × 11 = 33
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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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