LCM for 105 and 195
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What's the Least Common Multiple (LCM) of 105 and 195?
Answer
LCM of 105 and 195 is
1,365
First common multiples: 1,365; 2,730; 4,095; …
1,365 is divisible by both: 1,365 ÷ 105 = 13; 1,365 ÷ 195 = 7 — and 13 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 13 and of y/195 by 7.
105 = 3 × 5 × 7
195 = 3 × 5 × 13
| Prime | 105 | 195 | Highest power |
|---|---|---|---|
| 3 | 3 | 3 | 3 |
| 5 | 5 | 5 | 5 |
| 7 | 7 | — | 7 |
| 13 | — | 13 | 13 |
— = 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 × 13 = 1,365
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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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