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Least Common Multiple (LCM) of 47 and 83

The least common multiple (LCM) of 47 and 83 is 3901.

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 47 and 83?

First, calculate the GCD of 47 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 83 = 0 remainder 47
2 83 ÷ 47 = 1 remainder 36
3 47 ÷ 36 = 1 remainder 11
4 36 ÷ 11 = 3 remainder 3
5 11 ÷ 3 = 3 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
67 and 593953
135 and 17824030
171 and 12684
27 and 711917
198 and 936138

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