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Least Common Multiple (LCM) of 128 and 81

The least common multiple (LCM) of 128 and 81 is 10368.

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 128 and 81?

First, calculate the GCD of 128 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 128 ÷ 81 = 1 remainder 47
2 81 ÷ 47 = 1 remainder 34
3 47 ÷ 34 = 1 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
141 and 1024794
20 and 108540
107 and 919737
41 and 291189
167 and 111837

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