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Least Common Multiple (LCM) of 27 and 103

The least common multiple (LCM) of 27 and 103 is 2781.

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 27 and 103?

First, calculate the GCD of 27 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 27 ÷ 103 = 0 remainder 27
2 103 ÷ 27 = 3 remainder 22
3 27 ÷ 22 = 1 remainder 5
4 22 ÷ 5 = 4 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 986958
37 and 1475439
145 and 501450
187 and 16731229
141 and 12217202

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