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Least Common Multiple (LCM) of 133 and 18

The least common multiple (LCM) of 133 and 18 is 2394.

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 18?

First, calculate the GCD of 133 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 133 ÷ 18 = 7 remainder 7
2 18 ÷ 7 = 2 remainder 4
3 7 ÷ 4 = 1 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
117 and 12714859
62 and 1885828
39 and 1967644
163 and 12720701
103 and 646592

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