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Least Common Multiple (LCM) of 197 and 191

The least common multiple (LCM) of 197 and 191 is 37627.

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 191?

First, calculate the GCD of 197 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 191 = 1 remainder 6
2 191 ÷ 6 = 31 remainder 5
3 6 ÷ 5 = 1 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
25 and 1674175
160 and 213360
71 and 725112
13 and 53689
89 and 14713083

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