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Least Common Multiple (LCM) of 117 and 124

The least common multiple (LCM) of 117 and 124 is 14508.

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 124?

First, calculate the GCD of 117 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 124 = 0 remainder 117
2 124 ÷ 117 = 1 remainder 7
3 117 ÷ 7 = 16 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
79 and 141106
95 and 121140
117 and 16018720
136 and 1107480
113 and 13315029

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