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Least Common Multiple (LCM) of 122 and 77

The least common multiple (LCM) of 122 and 77 is 9394.

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 77?

First, calculate the GCD of 122 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 77 = 1 remainder 45
2 77 ÷ 45 = 1 remainder 32
3 45 ÷ 32 = 1 remainder 13
4 32 ÷ 13 = 2 remainder 6
5 13 ÷ 6 = 2 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
178 and 19016910
157 and 10816956
84 and 27756
127 and 17922733
76 and 622356

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