LCM for 70 and 385

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What's the Least Common Multiple (LCM) of 70 and 385?

Answer

LCM of 70 and 385 is
770

First common multiples: 770; 1,540; 2,310; …

770 is divisible by both: 770 ÷ 70 = 11, 770 ÷ 385 = 2 — and 11 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 11 and of y/385 by 2.

70 = 2 × 5 × 7

385 = 5 × 7 × 11

Prime70385Highest power
22—2
5555
7777
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 × 5 × 7 × 11 = 770

See Also

FAQ

What's the Least Common Multiple (LCM) of 70 and 385?

LCM of 70 and 385 is 770

How to find the LCM of 70 and 385 using prime factorization?

To find the LCM of 70 and 385, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 770.

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 385: LCM = 770, GCF = 35.