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Least Common Multiple (LCM) of 133 and 103

The least common multiple (LCM) of 133 and 103 is 13699.

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 133 and 103?

First, calculate the GCD of 133 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 133 ÷ 103 = 1 remainder 30
2 103 ÷ 30 = 3 remainder 13
3 30 ÷ 13 = 2 remainder 4
4 13 ÷ 4 = 3 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 963360
183 and 9116653
146 and 866278
26 and 27702
180 and 1401260

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