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Least Common Multiple (LCM) of 192 and 64

The least common multiple (LCM) of 192 and 64 is 192.

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 64?

First, calculate the GCD of 192 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 64 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 1753150
92 and 19317756
128 and 658320
166 and 14411952
43 and 22946

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