Least Common Multiple (LCM) of 143 and 200
The least common multiple (LCM) of 143 and 200 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 143 and 200?
First, calculate the GCD of 143 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 200 = 0 remainder 143 |
| 2 | 200 ÷ 143 = 1 remainder 57 |
| 3 | 143 ÷ 57 = 2 remainder 29 |
| 4 | 57 ÷ 29 = 1 remainder 28 |
| 5 | 29 ÷ 28 = 1 remainder 1 |
| 6 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 88 | 2112 |
| 178 and 95 | 16910 |
| 87 and 107 | 9309 |
| 26 and 146 | 1898 |
| 61 and 104 | 6344 |