LCM for 10 and 100

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What's the Least Common Multiple (LCM) of 10 and 100?

Answer

LCM of 10 and 100 is
100

First common multiples: 100, 200, 300, …

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

10 divides 100 (100 ÷ 10 = 10), so the LCM is the larger number itself.

10 = 2 × 5

100 = 22 × 52

Prime10100Highest power
222222
555252

LCM = 22 × 52 = 100

See Also

FAQ

What's the Least Common Multiple (LCM) of 10 and 100?

LCM of 10 and 100 is 100

How to find the LCM of 10 and 100 using prime factorization?

To find the LCM of 10 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 100.

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 100: LCM = 100, GCF = 10.