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Least Common Multiple (LCM) of 13 and 103

The least common multiple (LCM) of 13 and 103 is 1339.

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 13 and 103?

First, calculate the GCD of 13 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 13 ÷ 103 = 0 remainder 13
2 103 ÷ 13 = 7 remainder 12
3 13 ÷ 12 = 1 remainder 1
4 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 619699
127 and 9812446
42 and 1921344
92 and 28644
164 and 10316892

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