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Least Common Multiple (LCM) of 197 and 47

The least common multiple (LCM) of 197 and 47 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 197 and 47?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
166 and 7111786
195 and 52780
172 and 923956
150 and 1554650
66 and 855610

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