Least Common Multiple (LCM) of 95 and 144
The least common multiple (LCM) of 95 and 144 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 95 and 144?
First, calculate the GCD of 95 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 144 = 0 remainder 95 |
| 2 | 144 ÷ 95 = 1 remainder 49 |
| 3 | 95 ÷ 49 = 1 remainder 46 |
| 4 | 49 ÷ 46 = 1 remainder 3 |
| 5 | 46 ÷ 3 = 15 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 102 | 5610 |
| 99 and 69 | 2277 |
| 28 and 22 | 308 |
| 115 and 173 | 19895 |
| 78 and 182 | 546 |