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Least Common Multiple (LCM) of 109 and 111

The least common multiple (LCM) of 109 and 111 is 12099.

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 109 and 111?

First, calculate the GCD of 109 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 111 = 0 remainder 109
2 111 ÷ 109 = 1 remainder 2
3 109 ÷ 2 = 54 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 2005400
35 and 592065
57 and 1589006
116 and 131508
187 and 14126367

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