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Least Common Multiple (LCM) of 80 and 181

The least common multiple (LCM) of 80 and 181 is 14480.

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 181?

First, calculate the GCD of 80 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 181 = 0 remainder 80
2 181 ÷ 80 = 2 remainder 21
3 80 ÷ 21 = 3 remainder 17
4 21 ÷ 17 = 1 remainder 4
5 17 ÷ 4 = 4 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
186 and 686324
20 and 1973940
48 and 1222928
151 and 253775
21 and 99693

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