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Least Common Multiple (LCM) of 197 and 96

The least common multiple (LCM) of 197 and 96 is 18912.

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 197 and 96?

First, calculate the GCD of 197 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 96 = 2 remainder 5
2 96 ÷ 5 = 19 remainder 1
3 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 16714863
151 and 19629596
78 and 14511310
19 and 991881
72 and 192576

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