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Least Common Multiple (LCM) of 96 and 23

The least common multiple (LCM) of 96 and 23 is 2208.

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 23?

First, calculate the GCD of 96 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
48 and 80240
123 and 813321
101 and 999999
103 and 727416
160 and 274320

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