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Least Common Multiple (LCM) of 80 and 23

The least common multiple (LCM) of 80 and 23 is 1840.

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 23?

First, calculate the GCD of 80 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 23 = 3 remainder 11
2 23 ÷ 11 = 2 remainder 1
3 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
166 and 18415272
192 and 6712864
196 and 522548
39 and 893471
82 and 4182

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