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Least Common Multiple (LCM) of 99 and 93

The least common multiple (LCM) of 99 and 93 is 3069.

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 93?

First, calculate the GCD of 99 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 93 = 1 remainder 6
2 93 ÷ 6 = 15 remainder 3
3 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 1351755
151 and 9414194
189 and 1681512
154 and 483696
195 and 911365

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