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Least Common Multiple (LCM) of 191 and 99

The least common multiple (LCM) of 191 and 99 is 18909.

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 99?

First, calculate the GCD of 191 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 191 ÷ 99 = 1 remainder 92
2 99 ÷ 92 = 1 remainder 7
3 92 ÷ 7 = 13 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 838300
159 and 1869858
160 and 15124160
23 and 982254
73 and 1128176

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