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Least Common Multiple (LCM) of 89 and 96

The least common multiple (LCM) of 89 and 96 is 8544.

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 89 and 96?

First, calculate the GCD of 89 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 89 ÷ 96 = 0 remainder 89
2 96 ÷ 89 = 1 remainder 7
3 89 ÷ 7 = 12 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 19135335
177 and 8815576
94 and 1044888
187 and 5810846
137 and 16722879

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