Least Common Multiple (LCM) of 181 and 144
The least common multiple (LCM) of 181 and 144 is 26064.
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 181 and 144?
First, calculate the GCD of 181 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 144 = 1 remainder 37 |
| 2 | 144 ÷ 37 = 3 remainder 33 |
| 3 | 37 ÷ 33 = 1 remainder 4 |
| 4 | 33 ÷ 4 = 8 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 118 | 17110 |
| 167 and 144 | 24048 |
| 116 and 183 | 21228 |
| 165 and 31 | 5115 |
| 197 and 75 | 14775 |