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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
12 and 88264
106 and 394134
89 and 191691
141 and 466486
168 and 32672

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