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Least Common Multiple (LCM) of 120 and 122

The least common multiple (LCM) of 120 and 122 is 7320.

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 120 and 122?

First, calculate the GCD of 120 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 120 ÷ 122 = 0 remainder 120
2 122 ÷ 120 = 1 remainder 2
3 120 ÷ 2 = 60 remainder 0

Examples of LCM Calculations

NumbersLCM
138 and 17812282
140 and 631260
149 and 10115049
32 and 168672
150 and 1624050

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