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Least Common Multiple (LCM) of 17 and 81

The least common multiple (LCM) of 17 and 81 is 1377.

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 17 and 81?

First, calculate the GCD of 17 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 17 ÷ 81 = 0 remainder 17
2 81 ÷ 17 = 4 remainder 13
3 17 ÷ 13 = 1 remainder 4
4 13 ÷ 4 = 3 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 1036077
121 and 16620086
181 and 15928779
56 and 1699464
153 and 964896

Try Calculating LCM of Other Numbers







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