LCM for 33 and 35
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What's the Least Common Multiple (LCM) of 33 and 35?
Answer
LCM of 33 and 35 is
1,155
First common multiples: 1,155; 2,310; 3,465; …
1,155 is divisible by both: 1,155 ÷ 33 = 35; 1,155 ÷ 35 = 33 — and 35 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 35 and of y/35 by 33.
33 and 35 are coprime (GCF = 1), so their LCM is simply the product: 33 × 35 = 1,155.
33 = 3 × 11
35 = 5 × 7
| Prime | 33 | 35 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 5 | — | 5 | 5 |
| 7 | — | 7 | 7 |
| 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 × 5 × 7 × 11 = 1,155
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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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