Least Common Multiple (LCM) of 191 and 50
The least common multiple (LCM) of 191 and 50 is 9550.
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 50?
First, calculate the GCD of 191 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 50 = 3 remainder 41 |
| 2 | 50 ÷ 41 = 1 remainder 9 |
| 3 | 41 ÷ 9 = 4 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 142 | 18034 |
| 151 and 66 | 9966 |
| 168 and 134 | 11256 |
| 114 and 93 | 3534 |
| 144 and 144 | 144 |