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Least Common Multiple (LCM) of 65 and 197

The least common multiple (LCM) of 65 and 197 is 12805.

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 65 and 197?

First, calculate the GCD of 65 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 65 ÷ 197 = 0 remainder 65
2 197 ÷ 65 = 3 remainder 2
3 65 ÷ 2 = 32 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
52 and 1919932
195 and 13325935
151 and 14521895
159 and 53159
148 and 1229028

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