Least Common Multiple (LCM) of 191 and 108
The least common multiple (LCM) of 191 and 108 is 20628.
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 108?
First, calculate the GCD of 191 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 108 = 1 remainder 83 |
| 2 | 108 ÷ 83 = 1 remainder 25 |
| 3 | 83 ÷ 25 = 3 remainder 8 |
| 4 | 25 ÷ 8 = 3 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 114 | 114 |
| 16 and 188 | 752 |
| 116 and 53 | 6148 |
| 165 and 131 | 21615 |
| 63 and 187 | 11781 |