LCM for 10 and 70

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What's the Least Common Multiple (LCM) of 10 and 70?

Answer

LCM of 10 and 70 is
70

First common multiples: 70, 140, 210, …

As a common denominator: multiply the top and bottom of x/10 by 7.

10 divides 70 (70 ÷ 10 = 7), so the LCM is the larger number itself.

10 = 2 × 5

70 = 2 × 5 × 7

Prime1070Highest power
2222
5555
7—77

— = 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

See Also

FAQ

What's the Least Common Multiple (LCM) of 10 and 70?

LCM of 10 and 70 is 70

How to find the LCM of 10 and 70 using prime factorization?

To find the LCM of 10 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 10 and 70: LCM = 70, GCF = 10.