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Least Common Multiple (LCM) of 198 and 16

The least common multiple (LCM) of 198 and 16 is 1584.

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 198 and 16?

First, calculate the GCD of 198 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 16 = 12 remainder 6
2 16 ÷ 6 = 2 remainder 4
3 6 ÷ 4 = 1 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 162928
106 and 1729116
109 and 12113189
14 and 851190
112 and 1243472

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