LCM for 70 and 210

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What's the Least Common Multiple (LCM) of 70 and 210?

Answer

LCM of 70 and 210 is
210

First common multiples: 210, 420, 630, …

As a common denominator: multiply the top and bottom of x/70 by 3.

70 divides 210 (210 ÷ 70 = 3), so the LCM is the larger number itself.

70 = 2 × 5 × 7

210 = 2 × 3 × 5 × 7

Prime70210Highest power
2222
3—33
5555
7777

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 3 × 5 × 7 = 210

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FAQ

What's the Least Common Multiple (LCM) of 70 and 210?

LCM of 70 and 210 is 210

How to find the LCM of 70 and 210 using prime factorization?

To find the LCM of 70 and 210, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 210.

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 210: LCM = 210, GCF = 70.