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Least Common Multiple (LCM) of 80 and 143

The least common multiple (LCM) of 80 and 143 is 11440.

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 143?

First, calculate the GCD of 80 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 143 = 0 remainder 80
2 143 ÷ 80 = 1 remainder 63
3 80 ÷ 63 = 1 remainder 17
4 63 ÷ 17 = 3 remainder 12
5 17 ÷ 12 = 1 remainder 5
6 12 ÷ 5 = 2 remainder 2
7 5 ÷ 2 = 2 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
69 and 20013800
112 and 49784
192 and 499408
169 and 10117069
100 and 1788900

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