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Least Common Multiple (LCM) of 114 and 81

The least common multiple (LCM) of 114 and 81 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 114 and 81?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
72 and 162648
124 and 18322692
51 and 643264
130 and 435590
136 and 354760

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