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Least Common Multiple (LCM) of 19 and 192

The least common multiple (LCM) of 19 and 192 is 3648.

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 19 and 192?

First, calculate the GCD of 19 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 19 ÷ 192 = 0 remainder 19
2 192 ÷ 19 = 10 remainder 2
3 19 ÷ 2 = 9 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
117 and 19322581
178 and 343026
197 and 19538415
141 and 618601
91 and 15714287

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