Least Common Multiple (LCM) of 199 and 81
The least common multiple (LCM) of 199 and 81 is 16119.
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 81?
First, calculate the GCD of 199 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 81 = 2 remainder 37 |
| 2 | 81 ÷ 37 = 2 remainder 7 |
| 3 | 37 ÷ 7 = 5 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 179 | 34726 |
| 168 and 132 | 1848 |
| 80 and 158 | 6320 |
| 185 and 28 | 5180 |
| 144 and 190 | 13680 |