Least Common Multiple (LCM) of 199 and 195
The least common multiple (LCM) of 199 and 195 is 38805.
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 199 and 195?
First, calculate the GCD of 199 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 195 = 1 remainder 4 |
| 2 | 195 ÷ 4 = 48 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 182 | 27482 |
| 82 and 102 | 4182 |
| 128 and 146 | 9344 |
| 105 and 12 | 420 |
| 136 and 17 | 136 |