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Least Common Multiple (LCM) of 111 and 163

The least common multiple (LCM) of 111 and 163 is 18093.

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 111 and 163?

First, calculate the GCD of 111 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 111 ÷ 163 = 0 remainder 111
2 163 ÷ 111 = 1 remainder 52
3 111 ÷ 52 = 2 remainder 7
4 52 ÷ 7 = 7 remainder 3
5 7 ÷ 3 = 2 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
65 and 75975
40 and 112560
183 and 142562
149 and 10115049
181 and 203620

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