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Least Common Multiple (LCM) of 116 and 191

The least common multiple (LCM) of 116 and 191 is 22156.

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 116 and 191?

First, calculate the GCD of 116 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 191 = 0 remainder 116
2 191 ÷ 116 = 1 remainder 75
3 116 ÷ 75 = 1 remainder 41
4 75 ÷ 41 = 1 remainder 34
5 41 ÷ 34 = 1 remainder 7
6 34 ÷ 7 = 4 remainder 6
7 7 ÷ 6 = 1 remainder 1
8 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 8513855
73 and 271971
103 and 18018540
18 and 1881692
57 and 1759975

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