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Least Common Multiple (LCM) of 191 and 97

The least common multiple (LCM) of 191 and 97 is 18527.

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 191 and 97?

First, calculate the GCD of 191 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 191 ÷ 97 = 1 remainder 94
2 97 ÷ 94 = 1 remainder 3
3 94 ÷ 3 = 31 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
77 and 19214784
17 and 1863162
54 and 1861674
175 and 6711725
124 and 462852

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