LCM for 70 and 135
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What's the Least Common Multiple (LCM) of 70 and 135?
Answer
LCM of 70 and 135 is
1,890
First common multiples: 1,890; 3,780; 5,670; …
1,890 is divisible by both: 1,890 ÷ 70 = 27; 1,890 ÷ 135 = 14 — and 27 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 27 and of y/135 by 14.
70 = 2 × 5 × 7
135 = 33 × 5
| Prime | 70 | 135 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 33 | 33 |
| 5 | 5 | 5 | 5 |
| 7 | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 33 × 5 × 7 = 1,890
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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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