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Least Common Multiple (LCM) of 96 and 143

The least common multiple (LCM) of 96 and 143 is 13728.

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 96 and 143?

First, calculate the GCD of 96 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 96 ÷ 143 = 0 remainder 96
2 143 ÷ 96 = 1 remainder 47
3 96 ÷ 47 = 2 remainder 2
4 47 ÷ 2 = 23 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
154 and 13120174
38 and 1703230
189 and 392457
187 and 5610472
155 and 8813640

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