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Least Common Multiple (LCM) of 47 and 193

The least common multiple (LCM) of 47 and 193 is 9071.

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 47 and 193?

First, calculate the GCD of 47 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 193 = 0 remainder 47
2 193 ÷ 47 = 4 remainder 5
3 47 ÷ 5 = 9 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
97 and 17116587
68 and 835644
199 and 428358
85 and 19716745
96 and 781248

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