Least Common Multiple (LCM) of 191 and 144
The least common multiple (LCM) of 191 and 144 is 27504.
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 191 and 144?
First, calculate the GCD of 191 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 144 = 1 remainder 47 |
| 2 | 144 ÷ 47 = 3 remainder 3 |
| 3 | 47 ÷ 3 = 15 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 29 | 3625 |
| 72 and 185 | 13320 |
| 85 and 70 | 1190 |
| 154 and 116 | 8932 |
| 68 and 104 | 1768 |