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Least Common Multiple (LCM) of 187 and 109

The least common multiple (LCM) of 187 and 109 is 20383.

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 187 and 109?

First, calculate the GCD of 187 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 187 ÷ 109 = 1 remainder 78
2 109 ÷ 78 = 1 remainder 31
3 78 ÷ 31 = 2 remainder 16
4 31 ÷ 16 = 1 remainder 15
5 16 ÷ 15 = 1 remainder 1
6 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
122 and 759150
57 and 1367752
176 and 867568
23 and 1162668
190 and 15930210

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