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Least Common Multiple (LCM) of 144 and 24

The least common multiple (LCM) of 144 and 24 is 144.

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 144 and 24?

First, calculate the GCD of 144 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 144 ÷ 24 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
136 and 8311288
117 and 1114329
39 and 991287
185 and 19636260
187 and 34374

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