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Least Common Multiple (LCM) of 80 and 111

The least common multiple (LCM) of 80 and 111 is 8880.

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 111?

First, calculate the GCD of 80 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 111 = 0 remainder 80
2 111 ÷ 80 = 1 remainder 31
3 80 ÷ 31 = 2 remainder 18
4 31 ÷ 18 = 1 remainder 13
5 18 ÷ 13 = 1 remainder 5
6 13 ÷ 5 = 2 remainder 3
7 5 ÷ 3 = 1 remainder 2
8 3 ÷ 2 = 1 remainder 1
9 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 18321594
117 and 748658
162 and 172754
189 and 1621134
138 and 14966

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