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Least Common Multiple (LCM) of 114 and 108

The least common multiple (LCM) of 114 and 108 is 2052.

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 108?

First, calculate the GCD of 114 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 114 ÷ 108 = 1 remainder 6
2 108 ÷ 6 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
17 and 11187
107 and 151605
27 and 1032781
193 and 14227406
53 and 1628586

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