Least Common Multiple (LCM) of 143 and 82
The least common multiple (LCM) of 143 and 82 is 11726.
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 82?
First, calculate the GCD of 143 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 82 = 1 remainder 61 |
| 2 | 82 ÷ 61 = 1 remainder 21 |
| 3 | 61 ÷ 21 = 2 remainder 19 |
| 4 | 21 ÷ 19 = 1 remainder 2 |
| 5 | 19 ÷ 2 = 9 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 150 | 8850 |
| 177 and 175 | 30975 |
| 122 and 158 | 9638 |
| 12 and 53 | 636 |
| 138 and 23 | 138 |