LCM for 35 and 70
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What's the Least Common Multiple (LCM) of 35 and 70?
Answer
LCM of 35 and 70 is
70
First common multiples: 70, 140, 210, …
As a common denominator: multiply the top and bottom of x/35 by 2.
35 divides 70 (70 ÷ 35 = 2), so the LCM is the larger number itself.
35 = 5 × 7
70 = 2 × 5 × 7
| Prime | 35 | 70 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 5 | 5 | 5 | 5 |
| 7 | 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 × 5 × 7 = 70
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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 35 and 70?
LCM of 35 and 70 is 70
How to find the LCM of 35 and 70 using prime factorization?
To find the LCM of 35 and 70, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 70.
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 35 and 70: LCM = 70, GCF = 35.
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