Least Common Multiple (LCM) of 50 and 200
The least common multiple (LCM) of 50 and 200 is 200.
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 50 and 200?
First, calculate the GCD of 50 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 200 = 0 remainder 50 |
| 2 | 200 ÷ 50 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 123 | 21525 |
| 192 and 18 | 576 |
| 121 and 131 | 15851 |
| 174 and 54 | 1566 |
| 27 and 63 | 189 |