Least Common Multiple (LCM) of 200 and 103
The least common multiple (LCM) of 200 and 103 is 20600.
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 200 and 103?
First, calculate the GCD of 200 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 103 = 1 remainder 97 |
| 2 | 103 ÷ 97 = 1 remainder 6 |
| 3 | 97 ÷ 6 = 16 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 50 | 1850 |
| 55 and 49 | 2695 |
| 121 and 95 | 11495 |
| 184 and 29 | 5336 |
| 162 and 50 | 4050 |