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Least Common Multiple (LCM) of 109 and 83

The least common multiple (LCM) of 109 and 83 is 9047.

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 83?

First, calculate the GCD of 109 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 83 = 1 remainder 26
2 83 ÷ 26 = 3 remainder 5
3 26 ÷ 5 = 5 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
186 and 1444464
192 and 499408
140 and 517140
173 and 15426642
128 and 825248

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