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Least Common Multiple (LCM) of 81 and 114

The least common multiple (LCM) of 81 and 114 is 3078.

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 114?

First, calculate the GCD of 81 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 114 = 0 remainder 81
2 114 ÷ 81 = 1 remainder 33
3 81 ÷ 33 = 2 remainder 15
4 33 ÷ 15 = 2 remainder 3
5 15 ÷ 3 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 19732111
108 and 1243348
118 and 1569204
126 and 16320538
173 and 18832524

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