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Least Common Multiple (LCM) of 144 and 143

The least common multiple (LCM) of 144 and 143 is 20592.

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 143?

First, calculate the GCD of 144 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 144 ÷ 143 = 1 remainder 1
2 143 ÷ 1 = 143 remainder 0

Examples of LCM Calculations

NumbersLCM
187 and 16731229
105 and 812835
142 and 699798
182 and 12411284
82 and 1887708

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