LCM for 70 and 215
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What's the Least Common Multiple (LCM) of 70 and 215?
Answer
LCM of 70 and 215 is
3,010
First common multiples: 3,010; 6,020; 9,030; …
3,010 is divisible by both: 3,010 ÷ 70 = 43; 3,010 ÷ 215 = 14 — and 43 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 43 and of y/215 by 14.
70 = 2 × 5 × 7
215 = 5 × 43
| Prime | 70 | 215 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 5 | 5 | 5 | 5 |
| 7 | 7 | — | 7 |
| 43 | — | 43 | 43 |
— = 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 × 43 = 3,010
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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
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 70 and 215?
LCM of 70 and 215 is 3,010
How to find the LCM of 70 and 215 using prime factorization?
To find the LCM of 70 and 215, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,010.
What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 70 and 215: LCM = 3,010, GCF = 5.
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