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Least Common Multiple (LCM) of 141 and 144

The least common multiple (LCM) of 141 and 144 is 6768.

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 141 and 144?

First, calculate the GCD of 141 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 141 ÷ 144 = 0 remainder 141
2 144 ÷ 141 = 1 remainder 3
3 141 ÷ 3 = 47 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 292581
114 and 1488436
91 and 312821
10 and 64320
128 and 12384

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