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Least Common Multiple (LCM) of 81 and 115

The least common multiple (LCM) of 81 and 115 is 9315.

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 115?

First, calculate the GCD of 81 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 115 = 0 remainder 81
2 115 ÷ 81 = 1 remainder 34
3 81 ÷ 34 = 2 remainder 13
4 34 ÷ 13 = 2 remainder 8
5 13 ÷ 8 = 1 remainder 5
6 8 ÷ 5 = 1 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
137 and 17023290
30 and 190570
69 and 382622
15 and 1482220
179 and 6611814

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