Least Common Multiple (LCM) of 143 and 193
The least common multiple (LCM) of 143 and 193 is 27599.
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 193?
First, calculate the GCD of 143 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 193 = 0 remainder 143 |
| 2 | 193 ÷ 143 = 1 remainder 50 |
| 3 | 143 ÷ 50 = 2 remainder 43 |
| 4 | 50 ÷ 43 = 1 remainder 7 |
| 5 | 43 ÷ 7 = 6 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 10 | 730 |
| 56 and 78 | 2184 |
| 179 and 130 | 23270 |
| 78 and 196 | 7644 |
| 143 and 132 | 1716 |