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Least Common Multiple (LCM) of 103 and 47

The least common multiple (LCM) of 103 and 47 is 4841.

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 103 and 47?

First, calculate the GCD of 103 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 103 ÷ 47 = 2 remainder 9
2 47 ÷ 9 = 5 remainder 2
3 9 ÷ 2 = 4 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 1443600
132 and 19125212
99 and 16316137
61 and 975917
20 and 92460

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