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Least Common Multiple (LCM) of 99 and 183

The least common multiple (LCM) of 99 and 183 is 6039.

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 99 and 183?

First, calculate the GCD of 99 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 183 = 0 remainder 99
2 183 ÷ 99 = 1 remainder 84
3 99 ÷ 84 = 1 remainder 15
4 84 ÷ 15 = 5 remainder 9
5 15 ÷ 9 = 1 remainder 6
6 9 ÷ 6 = 1 remainder 3
7 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
136 and 15521080
173 and 7913667
46 and 1583634
132 and 632772
170 and 927820

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