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Least Common Multiple (LCM) of 81 and 24

The least common multiple (LCM) of 81 and 24 is 648.

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 24?

First, calculate the GCD of 81 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 24 = 3 remainder 9
2 24 ÷ 9 = 2 remainder 6
3 9 ÷ 6 = 1 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
182 and 130910
173 and 14124393
126 and 313906
30 and 1093270
88 and 1119768

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