LCM for 70 and 330

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What's the Least Common Multiple (LCM) of 70 and 330?

Answer

LCM of 70 and 330 is
2,310

First common multiples: 2,310; 4,620; 6,930; …

2,310 is divisible by both: 2,310 ÷ 70 = 33; 2,310 ÷ 330 = 7 — and 33 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 33 and of y/330 by 7.

70 = 2 × 5 × 7

330 = 2 × 3 × 5 × 11

Prime70330Highest power
2222
3—33
5555
77—7
11—1111

— = 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 × 11 = 2,310

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FAQ

What's the Least Common Multiple (LCM) of 70 and 330?

LCM of 70 and 330 is 2,310

How to find the LCM of 70 and 330 using prime factorization?

To find the LCM of 70 and 330, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,310.

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 330: LCM = 2,310, GCF = 10.