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Least Common Multiple (LCM) of 191 and 29

The least common multiple (LCM) of 191 and 29 is 5539.

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 29?

First, calculate the GCD of 191 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 191 ÷ 29 = 6 remainder 17
2 29 ÷ 17 = 1 remainder 12
3 17 ÷ 12 = 1 remainder 5
4 12 ÷ 5 = 2 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
87 and 766612
183 and 17832574
49 and 18882
155 and 351085
139 and 19927661

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