Least Common Multiple (LCM) of 199 and 181
The least common multiple (LCM) of 199 and 181 is 36019.
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 181?
First, calculate the GCD of 199 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 181 = 1 remainder 18 |
| 2 | 181 ÷ 18 = 10 remainder 1 |
| 3 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 20 | 180 |
| 105 and 95 | 1995 |
| 137 and 141 | 19317 |
| 111 and 31 | 3441 |
| 139 and 25 | 3475 |