Least Common Multiple (LCM) of 144 and 115
The least common multiple (LCM) of 144 and 115 is 16560.
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 115?
First, calculate the GCD of 144 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 115 = 1 remainder 29 |
| 2 | 115 ÷ 29 = 3 remainder 28 |
| 3 | 29 ÷ 28 = 1 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 115 | 18285 |
| 45 and 197 | 8865 |
| 134 and 166 | 11122 |
| 18 and 39 | 234 |
| 15 and 171 | 855 |