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Least Common Multiple (LCM) of 80 and 36

The least common multiple (LCM) of 80 and 36 is 720.

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 36?

First, calculate the GCD of 80 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 36 = 2 remainder 8
2 36 ÷ 8 = 4 remainder 4
3 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
39 and 853315
179 and 13824702
180 and 315580
48 and 132528
110 and 19921890

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