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Least Common Multiple (LCM) of 99 and 54

The least common multiple (LCM) of 99 and 54 is 594.

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 54?

First, calculate the GCD of 99 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 54 = 1 remainder 45
2 54 ÷ 45 = 1 remainder 9
3 45 ÷ 9 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
33 and 852805
147 and 7611172
180 and 234140
155 and 16926195
38 and 190190

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