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Least Common Multiple (LCM) of 82 and 96

The least common multiple (LCM) of 82 and 96 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 82 and 96?

First, calculate the GCD of 82 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 82 ÷ 96 = 0 remainder 82
2 96 ÷ 82 = 1 remainder 14
3 82 ÷ 14 = 5 remainder 12
4 14 ÷ 12 = 1 remainder 2
5 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
151 and 11417214
137 and 273699
169 and 244056
155 and 6910695
45 and 2001800

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