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Least Common Multiple (LCM) of 41 and 103

The least common multiple (LCM) of 41 and 103 is 4223.

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 103?

First, calculate the GCD of 41 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 103 = 0 remainder 41
2 103 ÷ 41 = 2 remainder 21
3 41 ÷ 21 = 1 remainder 20
4 21 ÷ 20 = 1 remainder 1
5 20 ÷ 1 = 20 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 2004600
132 and 19125212
137 and 293973
103 and 707210
177 and 376549

Try Calculating LCM of Other Numbers







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