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Least Common Multiple (LCM) of 191 and 50

The least common multiple (LCM) of 191 and 50 is 9550.

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 50?

First, calculate the GCD of 191 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 191 ÷ 50 = 3 remainder 41
2 50 ÷ 41 = 1 remainder 9
3 41 ÷ 9 = 4 remainder 5
4 9 ÷ 5 = 1 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 1143306
42 and 1652310
189 and 1754725
196 and 11722932
138 and 644416

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