Least Common Multiple (LCM) of 195 and 186
The least common multiple (LCM) of 195 and 186 is 12090.
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 195 and 186?
First, calculate the GCD of 195 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 186 = 1 remainder 9 |
| 2 | 186 ÷ 9 = 20 remainder 6 |
| 3 | 9 ÷ 6 = 1 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 11 | 517 |
| 150 and 84 | 2100 |
| 49 and 144 | 7056 |
| 69 and 157 | 10833 |
| 12 and 68 | 204 |