LCM for 70 and 205
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What's the Least Common Multiple (LCM) of 70 and 205?
Answer
LCM of 70 and 205 is
2,870
First common multiples: 2,870; 5,740; 8,610; …
2,870 is divisible by both: 2,870 ÷ 70 = 41; 2,870 ÷ 205 = 14 — and 41 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 41 and of y/205 by 14.
70 = 2 × 5 × 7
205 = 5 × 41
| Prime | 70 | 205 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 5 | 5 | 5 | 5 |
| 7 | 7 | — | 7 |
| 41 | — | 41 | 41 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 5 × 7 × 41 = 2,870
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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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