LCM for 70 and 200
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What's the Least Common Multiple (LCM) of 70 and 200?
Answer
LCM of 70 and 200 is
1,400
First common multiples: 1,400; 2,800; 4,200; …
1,400 is divisible by both: 1,400 ÷ 70 = 20; 1,400 ÷ 200 = 7 — and 20 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 20 and of y/200 by 7.
70 = 2 × 5 × 7
200 = 23 × 52
| Prime | 70 | 200 | Highest power |
|---|---|---|---|
| 2 | 2 | 23 | 23 |
| 5 | 5 | 52 | 52 |
| 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 = 23 × 52 × 7 = 1,400
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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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