Least Common Multiple (LCM) of 181 and 199
The least common multiple (LCM) of 181 and 199 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 181 and 199?
First, calculate the GCD of 181 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 199 = 0 remainder 181 |
| 2 | 199 ÷ 181 = 1 remainder 18 |
| 3 | 181 ÷ 18 = 10 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 60 | 5820 |
| 105 and 146 | 15330 |
| 147 and 112 | 2352 |
| 100 and 78 | 3900 |
| 162 and 179 | 28998 |