Least Common Multiple (LCM) of 191 and 193
The least common multiple (LCM) of 191 and 193 is 36863.
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 193?
First, calculate the GCD of 191 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 193 = 0 remainder 191 |
| 2 | 193 ÷ 191 = 1 remainder 2 |
| 3 | 191 ÷ 2 = 95 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 196 | 37828 |
| 163 and 77 | 12551 |
| 23 and 175 | 4025 |
| 135 and 70 | 1890 |
| 150 and 121 | 18150 |