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Least Common Multiple (LCM) of 65 and 122

The least common multiple (LCM) of 65 and 122 is 7930.

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 65 and 122?

First, calculate the GCD of 65 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 65 ÷ 122 = 0 remainder 65
2 122 ÷ 65 = 1 remainder 57
3 65 ÷ 57 = 1 remainder 8
4 57 ÷ 8 = 7 remainder 1
5 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
88 and 272376
163 and 17228036
107 and 424494
13 and 68884
87 and 752175

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