LCM for 70 and 455

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What's the Least Common Multiple (LCM) of 70 and 455?

Answer

LCM of 70 and 455 is
910

First common multiples: 910; 1,820; 2,730; …

910 is divisible by both: 910 ÷ 70 = 13, 910 ÷ 455 = 2 — and 13 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 13 and of y/455 by 2.

70 = 2 × 5 × 7

455 = 5 × 7 × 13

Prime70455Highest power
22—2
5555
7777
13—1313

— = 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 × 13 = 910

See Also

FAQ

What's the Least Common Multiple (LCM) of 70 and 455?

LCM of 70 and 455 is 910

How to find the LCM of 70 and 455 using prime factorization?

To find the LCM of 70 and 455, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 910.

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 455: LCM = 910, GCF = 35.