LCM for 70 and 395

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What's the Least Common Multiple (LCM) of 70 and 395?

Answer

LCM of 70 and 395 is
5,530

First common multiples: 5,530; 11,060; 16,590; …

5,530 is divisible by both: 5,530 ÷ 70 = 79; 5,530 ÷ 395 = 14 — and 79 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 79 and of y/395 by 14.

70 = 2 × 5 × 7

395 = 5 × 79

Prime70395Highest power
22—2
5555
77—7
79—7979

— = 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 × 79 = 5,530

See Also

FAQ

What's the Least Common Multiple (LCM) of 70 and 395?

LCM of 70 and 395 is 5,530

How to find the LCM of 70 and 395 using prime factorization?

To find the LCM of 70 and 395, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 5,530.

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 395: LCM = 5,530, GCF = 5.