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Least Common Multiple (LCM) of 41 and 197

The least common multiple (LCM) of 41 and 197 is 8077.

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 41 and 197?

First, calculate the GCD of 41 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 197 = 0 remainder 41
2 197 ÷ 41 = 4 remainder 33
3 41 ÷ 33 = 1 remainder 8
4 33 ÷ 8 = 4 remainder 1
5 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 167167
12 and 1752100
159 and 12820352
70 and 14910430
89 and 353115

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