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Least Common Multiple (LCM) of 192 and 97

The least common multiple (LCM) of 192 and 97 is 18624.

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 97?

First, calculate the GCD of 192 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 97 = 1 remainder 95
2 97 ÷ 95 = 1 remainder 2
3 95 ÷ 2 = 47 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
162 and 524212
195 and 1756825
126 and 10913734
122 and 17810858
73 and 483504

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