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Least Common Multiple (LCM) of 117 and 122

The least common multiple (LCM) of 117 and 122 is 14274.

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 122?

First, calculate the GCD of 117 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 122 = 0 remainder 117
2 122 ÷ 117 = 1 remainder 5
3 117 ÷ 5 = 23 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
15 and 132660
116 and 455220
83 and 867138
123 and 9111193
65 and 19912935

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