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 |
|---|---|
| 16 and 36 | 144 |
| 109 and 64 | 6976 |
| 22 and 49 | 1078 |
| 16 and 186 | 1488 |
| 170 and 56 | 4760 |