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Least Common Multiple (LCM) of 80 and 183

The least common multiple (LCM) of 80 and 183 is 14640.

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 80 and 183?

First, calculate the GCD of 80 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 183 = 0 remainder 80
2 183 ÷ 80 = 2 remainder 23
3 80 ÷ 23 = 3 remainder 11
4 23 ÷ 11 = 2 remainder 1
5 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 72720
58 and 19911542
135 and 14619710
133 and 10113433
59 and 231357

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