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Least Common Multiple (LCM) of 144 and 184

The least common multiple (LCM) of 144 and 184 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 144 and 184?

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

Step-by-Step GCD Calculation

StepCalculation
1 144 ÷ 184 = 0 remainder 144
2 184 ÷ 144 = 1 remainder 40
3 144 ÷ 40 = 3 remainder 24
4 40 ÷ 24 = 1 remainder 16
5 24 ÷ 16 = 1 remainder 8
6 16 ÷ 8 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 313751
64 and 16310432
195 and 13626520
50 and 1638150
180 and 72360

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