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Least Common Multiple (LCM) of 80 and 86

The least common multiple (LCM) of 80 and 86 is 3440.

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 86?

First, calculate the GCD of 80 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 86 = 0 remainder 80
2 86 ÷ 80 = 1 remainder 6
3 80 ÷ 6 = 13 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
138 and 962208
154 and 13810626
36 and 42252
143 and 17424882
154 and 13721098

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