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Least Common Multiple (LCM) of 107 and 99

The least common multiple (LCM) of 107 and 99 is 10593.

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 107 and 99?

First, calculate the GCD of 107 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 107 ÷ 99 = 1 remainder 8
2 99 ÷ 8 = 12 remainder 3
3 8 ÷ 3 = 2 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 16430340
74 and 622294
40 and 581160
42 and 66462
151 and 11917969

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