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 |
|---|---|
| 185 and 56 | 10360 |
| 42 and 147 | 294 |
| 66 and 91 | 6006 |
| 186 and 163 | 30318 |
| 198 and 119 | 23562 |