Least Common Multiple (LCM) of 43 and 200
The least common multiple (LCM) of 43 and 200 is 8600.
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 43 and 200?
First, calculate the GCD of 43 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 200 = 0 remainder 43 |
| 2 | 200 ÷ 43 = 4 remainder 28 |
| 3 | 43 ÷ 28 = 1 remainder 15 |
| 4 | 28 ÷ 15 = 1 remainder 13 |
| 5 | 15 ÷ 13 = 1 remainder 2 |
| 6 | 13 ÷ 2 = 6 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 173 | 32351 |
| 199 and 143 | 28457 |
| 115 and 72 | 8280 |
| 172 and 161 | 27692 |
| 23 and 11 | 253 |