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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
120 and 96480
47 and 12564
190 and 17934010
164 and 883608
44 and 733212

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