LCM for 105 and 165
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What's the Least Common Multiple (LCM) of 105 and 165?
Answer
LCM of 105 and 165 is
1,155
First common multiples: 1,155; 2,310; 3,465; …
1,155 is divisible by both: 1,155 ÷ 105 = 11; 1,155 ÷ 165 = 7 — and 11 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/105 by 11 and of y/165 by 7.
105 = 3 × 5 × 7
165 = 3 × 5 × 11
| Prime | 105 | 165 | Highest power |
|---|---|---|---|
| 3 | 3 | 3 | 3 |
| 5 | 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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