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Least Common Multiple (LCM) of 118 and 117

The least common multiple (LCM) of 118 and 117 is 13806.

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 118 and 117?

First, calculate the GCD of 118 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 118 ÷ 117 = 1 remainder 1
2 117 ÷ 1 = 117 remainder 0

Examples of LCM Calculations

NumbersLCM
198 and 15910494
104 and 1226344
65 and 55715
81 and 1504050
109 and 495341

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