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
| Step | Calculation |
|---|---|
| 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
| Numbers | LCM |
|---|---|
| 140 and 160 | 1120 |
| 124 and 179 | 22196 |
| 191 and 138 | 26358 |
| 113 and 153 | 17289 |
| 184 and 39 | 7176 |