LCM for 10 and 110

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What's the Least Common Multiple (LCM) of 10 and 110?

Answer

LCM of 10 and 110 is
110

First common multiples: 110, 220, 330, …

As a common denominator: multiply the top and bottom of x/10 by 11.

10 divides 110 (110 ÷ 10 = 11), so the LCM is the larger number itself.

10 = 2 × 5

110 = 2 × 5 × 11

Prime10110Highest power
2222
5555
11—1111

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

LCM = 2 × 5 × 11 = 110

See Also

FAQ

What's the Least Common Multiple (LCM) of 10 and 110?

LCM of 10 and 110 is 110

How to find the LCM of 10 and 110 using prime factorization?

To find the LCM of 10 and 110, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 110.

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 110: LCM = 110, GCF = 10.