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Least Common Multiple (LCM) of 139 and 122

The least common multiple (LCM) of 139 and 122 is 16958.

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 139 and 122?

First, calculate the GCD of 139 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 139 ÷ 122 = 1 remainder 17
2 122 ÷ 17 = 7 remainder 3
3 17 ÷ 3 = 5 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
127 and 486096
130 and 18323790
20 and 1332660
135 and 17223220
184 and 14727048

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