Least Common Multiple (LCM) of 144 and 95
The least common multiple (LCM) of 144 and 95 is 13680.
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 95?
First, calculate the GCD of 144 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 95 = 1 remainder 49 |
| 2 | 95 ÷ 49 = 1 remainder 46 |
| 3 | 49 ÷ 46 = 1 remainder 3 |
| 4 | 46 ÷ 3 = 15 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 99 | 13464 |
| 195 and 110 | 4290 |
| 190 and 20 | 380 |
| 10 and 135 | 270 |
| 48 and 18 | 144 |