LCM for 100 and 500

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What's the Least Common Multiple (LCM) of 100 and 500?

Answer

LCM of 100 and 500 is
500

First common multiples: 500; 1,000; 1,500; …

As a common denominator: multiply the top and bottom of x/100 by 5.

100 divides 500 (500 ÷ 100 = 5), so the LCM is the larger number itself.

100 = 22 × 52

500 = 22 × 53

Prime100500Highest power
2222222
5525353

LCM = 22 × 53 = 500

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FAQ

What's the Least Common Multiple (LCM) of 100 and 500?

LCM of 100 and 500 is 500

How to find the LCM of 100 and 500 using prime factorization?

To find the LCM of 100 and 500, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 500.

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 100 and 500: LCM = 500, GCF = 100.