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Least Common Multiple (LCM) of 191 and 143

The least common multiple (LCM) of 191 and 143 is 27313.

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 143?

First, calculate the GCD of 191 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 191 ÷ 143 = 1 remainder 48
2 143 ÷ 48 = 2 remainder 47
3 48 ÷ 47 = 1 remainder 1
4 47 ÷ 1 = 47 remainder 0

Examples of LCM Calculations

NumbersLCM
117 and 202340
79 and 1128848
155 and 1153565
185 and 9317205
43 and 582494

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