LCM for 10 and 55

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What's the Least Common Multiple (LCM) of 10 and 55?

Answer

LCM of 10 and 55 is
110

First common multiples: 110, 220, 330, …

110 is divisible by both: 110 ÷ 10 = 11, 110 ÷ 55 = 2 — and 11 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 11 and of y/55 by 2.

10 = 2 × 5

55 = 5 × 11

Prime1055Highest power
22—2
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 55?

LCM of 10 and 55 is 110

How to find the LCM of 10 and 55 using prime factorization?

To find the LCM of 10 and 55, 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 55: LCM = 110, GCF = 5.