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Least Common Multiple (LCM) of 115 and 183

The least common multiple (LCM) of 115 and 183 is 21045.

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 115 and 183?

First, calculate the GCD of 115 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 183 = 0 remainder 115
2 183 ÷ 115 = 1 remainder 68
3 115 ÷ 68 = 1 remainder 47
4 68 ÷ 47 = 1 remainder 21
5 47 ÷ 21 = 2 remainder 5
6 21 ÷ 5 = 4 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 12313161
52 and 1441872
47 and 1517097
54 and 432322
198 and 295742

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