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Least Common Multiple (LCM) of 163 and 99

The least common multiple (LCM) of 163 and 99 is 16137.

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 163 and 99?

First, calculate the GCD of 163 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 163 ÷ 99 = 1 remainder 64
2 99 ÷ 64 = 1 remainder 35
3 64 ÷ 35 = 1 remainder 29
4 35 ÷ 29 = 1 remainder 6
5 29 ÷ 6 = 4 remainder 5
6 6 ÷ 5 = 1 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
117 and 12114157
166 and 17014110
158 and 544266
52 and 753900
157 and 345338

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