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Least Common Multiple (LCM) of 120 and 138

The least common multiple (LCM) of 120 and 138 is 2760.

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 138?

First, calculate the GCD of 120 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 120 ÷ 138 = 0 remainder 120
2 138 ÷ 120 = 1 remainder 18
3 120 ÷ 18 = 6 remainder 12
4 18 ÷ 12 = 1 remainder 6
5 12 ÷ 6 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
75 and 120600
174 and 17014790
81 and 554455
116 and 1106380
164 and 19415908

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