Least Common Multiple (LCM) of 144 and 181
The least common multiple (LCM) of 144 and 181 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 144 and 181?
First, calculate the GCD of 144 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 181 = 0 remainder 144 |
| 2 | 181 ÷ 144 = 1 remainder 37 |
| 3 | 144 ÷ 37 = 3 remainder 33 |
| 4 | 37 ÷ 33 = 1 remainder 4 |
| 5 | 33 ÷ 4 = 8 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 18 | 1656 |
| 133 and 32 | 4256 |
| 31 and 115 | 3565 |
| 112 and 186 | 10416 |
| 71 and 158 | 11218 |