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Least Common Multiple (LCM) of 192 and 195

The least common multiple (LCM) of 192 and 195 is 12480.

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 195?

First, calculate the GCD of 192 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 195 = 0 remainder 192
2 195 ÷ 192 = 1 remainder 3
3 192 ÷ 3 = 64 remainder 0

Examples of LCM Calculations

NumbersLCM
20 and 1581580
144 and 1362448
146 and 679782
183 and 16810248
105 and 838715

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