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Least Common Multiple (LCM) of 192 and 128

The least common multiple (LCM) of 192 and 128 is 384.

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 128?

First, calculate the GCD of 192 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 128 = 1 remainder 64
2 128 ÷ 64 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
88 and 1345896
183 and 724392
77 and 14611242
59 and 1458555
111 and 17519425

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