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Least Common Multiple (LCM) of 89 and 144

The least common multiple (LCM) of 89 and 144 is 12816.

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 89 and 144?

First, calculate the GCD of 89 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 89 ÷ 144 = 0 remainder 89
2 144 ÷ 89 = 1 remainder 55
3 89 ÷ 55 = 1 remainder 34
4 55 ÷ 34 = 1 remainder 21
5 34 ÷ 21 = 1 remainder 13
6 21 ÷ 13 = 1 remainder 8
7 13 ÷ 8 = 1 remainder 5
8 8 ÷ 5 = 1 remainder 3
9 5 ÷ 3 = 1 remainder 2
10 3 ÷ 2 = 1 remainder 1
11 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
40 and 821640
54 and 21378
158 and 639954
192 and 19136672
164 and 1084428

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