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 |
|---|---|
| 156 and 10 | 780 |
| 99 and 162 | 1782 |
| 191 and 119 | 22729 |
| 183 and 186 | 11346 |
| 109 and 186 | 20274 |