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Least Common Multiple (LCM) of 96 and 123

The least common multiple (LCM) of 96 and 123 is 3936.

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 123?

First, calculate the GCD of 96 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 96 ÷ 123 = 0 remainder 96
2 123 ÷ 96 = 1 remainder 27
3 96 ÷ 27 = 3 remainder 15
4 27 ÷ 15 = 1 remainder 12
5 15 ÷ 12 = 1 remainder 3
6 12 ÷ 3 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 10960
109 and 353815
79 and 18814852
78 and 1184602
67 and 342278

Try Calculating LCM of Other Numbers







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