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Least Common Multiple (LCM) of 183 and 189

The least common multiple (LCM) of 183 and 189 is 11529.

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 183 and 189?

First, calculate the GCD of 183 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 183 ÷ 189 = 0 remainder 183
2 189 ÷ 183 = 1 remainder 6
3 183 ÷ 6 = 30 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 852720
104 and 1682184
57 and 1709690
111 and 9210212
194 and 9318042

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