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Least Common Multiple (LCM) of 120 and 96

The least common multiple (LCM) of 120 and 96 is 480.

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 96?

First, calculate the GCD of 120 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 120 ÷ 96 = 1 remainder 24
2 96 ÷ 24 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 965856
187 and 1361496
46 and 874002
175 and 1824550
106 and 717526

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