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Least Common Multiple (LCM) of 181 and 133

The least common multiple (LCM) of 181 and 133 is 24073.

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 181 and 133?

First, calculate the GCD of 181 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 181 ÷ 133 = 1 remainder 48
2 133 ÷ 48 = 2 remainder 37
3 48 ÷ 37 = 1 remainder 11
4 37 ÷ 11 = 3 remainder 4
5 11 ÷ 4 = 2 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 1854070
148 and 8111988
69 and 16011040
159 and 477473
69 and 992277

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