LCM for 22 and 105
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What's the Least Common Multiple (LCM) of 22 and 105?
Answer
LCM of 22 and 105 is
2,310
First common multiples: 2,310; 4,620; 6,930; …
2,310 is divisible by both: 2,310 ÷ 22 = 105; 2,310 ÷ 105 = 22 — and 105 and 22 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/22 by 105 and of y/105 by 22.
22 and 105 are coprime (GCF = 1), so their LCM is simply the product: 22 × 105 = 2,310.
22 = 2 × 11
105 = 3 × 5 × 7
| Prime | 22 | 105 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 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 = 2 × 3 × 5 × 7 × 11 = 2,310
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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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