Least Common Multiple (LCM) of 191 and 101
The least common multiple (LCM) of 191 and 101 is 19291.
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 101?
First, calculate the GCD of 191 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 101 = 1 remainder 90 |
| 2 | 101 ÷ 90 = 1 remainder 11 |
| 3 | 90 ÷ 11 = 8 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 123 | 13530 |
| 116 and 189 | 21924 |
| 199 and 108 | 21492 |
| 200 and 84 | 4200 |
| 11 and 91 | 1001 |