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Least Common Multiple (LCM) of 117 and 108

The least common multiple (LCM) of 117 and 108 is 1404.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 117 and 108?

First, calculate the GCD of 117 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 108 = 1 remainder 9
2 108 ÷ 9 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 241704
39 and 1796981
186 and 13012090
190 and 438170
185 and 10619610

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