Least Common Multiple (LCM) of 186 and 191
The least common multiple (LCM) of 186 and 191 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 186 and 191?
First, calculate the GCD of 186 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 191 = 0 remainder 186 |
| 2 | 191 ÷ 186 = 1 remainder 5 |
| 3 | 186 ÷ 5 = 37 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 119 | 18683 |
| 17 and 15 | 255 |
| 193 and 91 | 17563 |
| 135 and 63 | 945 |
| 55 and 147 | 8085 |