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Least Common Multiple (LCM) of 81 and 91

The least common multiple (LCM) of 81 and 91 is 7371.

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 81 and 91?

First, calculate the GCD of 81 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 91 = 0 remainder 81
2 91 ÷ 81 = 1 remainder 10
3 81 ÷ 10 = 8 remainder 1
4 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
173 and 183114
14 and 1251750
25 and 721800
197 and 11021670
125 and 10713375

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