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Least Common Multiple (LCM) of 140 and 144

The least common multiple (LCM) of 140 and 144 is 5040.

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 140 and 144?

First, calculate the GCD of 140 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 144 = 0 remainder 140
2 144 ÷ 140 = 1 remainder 4
3 140 ÷ 4 = 35 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 545886
97 and 888536
69 and 1188142
168 and 32672
123 and 1024182

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