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 |
|---|---|
| 124 and 109 | 13516 |
| 174 and 48 | 1392 |
| 160 and 67 | 10720 |
| 172 and 91 | 15652 |
| 163 and 169 | 27547 |