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Least Common Multiple (LCM) of 99 and 89

The least common multiple (LCM) of 99 and 89 is 8811.

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 99 and 89?

First, calculate the GCD of 99 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 89 = 1 remainder 10
2 89 ÷ 10 = 8 remainder 9
3 10 ÷ 9 = 1 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
188 and 1969212
15 and 114570
46 and 1979062
168 and 16613944
122 and 455490

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