Least Common Multiple (LCM) of 50 and 191
The least common multiple (LCM) of 50 and 191 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 50 and 191?
First, calculate the GCD of 50 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 191 = 0 remainder 50 |
| 2 | 191 ÷ 50 = 3 remainder 41 |
| 3 | 50 ÷ 41 = 1 remainder 9 |
| 4 | 41 ÷ 9 = 4 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 128 | 22656 |
| 169 and 105 | 17745 |
| 150 and 115 | 3450 |
| 85 and 73 | 6205 |
| 65 and 122 | 7930 |