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Least Common Multiple (LCM) of 117 and 116

The least common multiple (LCM) of 117 and 116 is 13572.

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 116?

First, calculate the GCD of 117 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 116 = 1 remainder 1
2 116 ÷ 1 = 116 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 14124675
144 and 15411088
146 and 423066
178 and 14012460
109 and 737957

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