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Least Common Multiple (LCM) of 192 and 165

The least common multiple (LCM) of 192 and 165 is 10560.

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 165?

First, calculate the GCD of 192 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 165 = 1 remainder 27
2 165 ÷ 27 = 6 remainder 3
3 27 ÷ 3 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
40 and 64320
105 and 692415
147 and 385586
155 and 401240
30 and 42210

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