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Least Common Multiple (LCM) of 81 and 108

The least common multiple (LCM) of 81 and 108 is 324.

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 81 and 108?

First, calculate the GCD of 81 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 108 = 0 remainder 81
2 108 ÷ 81 = 1 remainder 27
3 81 ÷ 27 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
182 and 18734034
99 and 494851
120 and 536360
35 and 30210
60 and 621860

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