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Least Common Multiple (LCM) of 47 and 197

The least common multiple (LCM) of 47 and 197 is 9259.

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 197?

First, calculate the GCD of 47 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 197 = 0 remainder 47
2 197 ÷ 47 = 4 remainder 9
3 47 ÷ 9 = 5 remainder 2
4 9 ÷ 2 = 4 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
119 and 627378
187 and 7914773
67 and 201340
184 and 544968
17 and 11187

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