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Least Common Multiple (LCM) of 184 and 144

The least common multiple (LCM) of 184 and 144 is 3312.

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 184 and 144?

First, calculate the GCD of 184 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 184 ÷ 144 = 1 remainder 40
2 144 ÷ 40 = 3 remainder 24
3 40 ÷ 24 = 1 remainder 16
4 24 ÷ 16 = 1 remainder 8
5 16 ÷ 8 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
126 and 865418
111 and 9410434
171 and 20034200
74 and 14911026
138 and 13919182

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