Least Common Multiple (LCM) of 200 and 143
The least common multiple (LCM) of 200 and 143 is 28600.
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 143?
First, calculate the GCD of 200 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 143 = 1 remainder 57 |
| 2 | 143 ÷ 57 = 2 remainder 29 |
| 3 | 57 ÷ 29 = 1 remainder 28 |
| 4 | 29 ÷ 28 = 1 remainder 1 |
| 5 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 102 | 4590 |
| 169 and 198 | 33462 |
| 189 and 45 | 945 |
| 43 and 31 | 1333 |
| 51 and 128 | 6528 |