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Least Common Multiple (LCM) of 191 and 83

The least common multiple (LCM) of 191 and 83 is 15853.

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 83?

First, calculate the GCD of 191 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 191 ÷ 83 = 2 remainder 25
2 83 ÷ 25 = 3 remainder 8
3 25 ÷ 8 = 3 remainder 1
4 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 1957410
65 and 1251625
183 and 1539333
96 and 391248
200 and 11923800

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