Least Common Multiple (LCM) of 199 and 142
The least common multiple (LCM) of 199 and 142 is 28258.
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 142?
First, calculate the GCD of 199 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 142 = 1 remainder 57 |
| 2 | 142 ÷ 57 = 2 remainder 28 |
| 3 | 57 ÷ 28 = 2 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 96 | 6048 |
| 66 and 45 | 990 |
| 186 and 131 | 24366 |
| 143 and 41 | 5863 |
| 30 and 113 | 3390 |