Least Common Multiple (LCM) of 199 and 191
The least common multiple (LCM) of 199 and 191 is 38009.
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 191?
First, calculate the GCD of 199 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 191 = 1 remainder 8 |
| 2 | 191 ÷ 8 = 23 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 128 | 21632 |
| 175 and 190 | 6650 |
| 73 and 82 | 5986 |
| 11 and 108 | 1188 |
| 96 and 52 | 1248 |