Least Common Multiple (LCM) of 199 and 190
The least common multiple (LCM) of 199 and 190 is 37810.
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 190?
First, calculate the GCD of 199 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 190 = 1 remainder 9 |
| 2 | 190 ÷ 9 = 21 remainder 1 |
| 3 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 85 | 340 |
| 30 and 182 | 2730 |
| 102 and 132 | 2244 |
| 63 and 168 | 504 |
| 193 and 17 | 3281 |