Least Common Multiple (LCM) of 191 and 186
The least common multiple (LCM) of 191 and 186 is 35526.
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 186?
First, calculate the GCD of 191 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 186 = 1 remainder 5 |
| 2 | 186 ÷ 5 = 37 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 192 | 18240 |
| 157 and 103 | 16171 |
| 101 and 199 | 20099 |
| 130 and 192 | 12480 |
| 191 and 181 | 34571 |