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Least Common Multiple (LCM) of 192 and 33

The least common multiple (LCM) of 192 and 33 is 2112.

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 192 and 33?

First, calculate the GCD of 192 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 33 = 5 remainder 27
2 33 ÷ 27 = 1 remainder 6
3 27 ÷ 6 = 4 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
128 and 40640
150 and 1778850
191 and 14126931
86 and 857310
51 and 601020

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