Least Common Multiple (LCM) of 199 and 50
The least common multiple (LCM) of 199 and 50 is 9950.
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 50?
First, calculate the GCD of 199 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 50 = 3 remainder 49 |
| 2 | 50 ÷ 49 = 1 remainder 1 |
| 3 | 49 ÷ 1 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 129 | 774 |
| 57 and 125 | 7125 |
| 61 and 123 | 7503 |
| 90 and 63 | 630 |
| 145 and 159 | 23055 |