LCM for 10 and 155

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What's the Least Common Multiple (LCM) of 10 and 155?

Answer

LCM of 10 and 155 is
310

First common multiples: 310, 620, 930, …

310 is divisible by both: 310 ÷ 10 = 31, 310 ÷ 155 = 2 — and 31 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 31 and of y/155 by 2.

10 = 2 × 5

155 = 5 × 31

Prime10155Highest power
22—2
5555
31—3131

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 5 × 31 = 310

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FAQ

What's the Least Common Multiple (LCM) of 10 and 155?

LCM of 10 and 155 is 310

How to find the LCM of 10 and 155 using prime factorization?

To find the LCM of 10 and 155, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 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 10 and 155: LCM = 310, GCF = 5.