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Least Common Multiple (LCM) of 122 and 181

The least common multiple (LCM) of 122 and 181 is 22082.

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 122 and 181?

First, calculate the GCD of 122 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 181 = 0 remainder 122
2 181 ÷ 122 = 1 remainder 59
3 122 ÷ 59 = 2 remainder 4
4 59 ÷ 4 = 14 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
117 and 11313221
12 and 4284
11 and 1401540
121 and 12615246
71 and 18212922

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