Least Common Multiple (LCM) of 17 and 143
The least common multiple (LCM) of 17 and 143 is 2431.
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 17 and 143?
First, calculate the GCD of 17 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 17 ÷ 143 = 0 remainder 17 |
| 2 | 143 ÷ 17 = 8 remainder 7 |
| 3 | 17 ÷ 7 = 2 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 189 | 36477 |
| 81 and 131 | 10611 |
| 77 and 150 | 11550 |
| 169 and 26 | 338 |
| 195 and 139 | 27105 |