Least Common Multiple (LCM) of 141 and 82
The least common multiple (LCM) of 141 and 82 is 11562.
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 141 and 82?
First, calculate the GCD of 141 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 82 = 1 remainder 59 |
| 2 | 82 ÷ 59 = 1 remainder 23 |
| 3 | 59 ÷ 23 = 2 remainder 13 |
| 4 | 23 ÷ 13 = 1 remainder 10 |
| 5 | 13 ÷ 10 = 1 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 25 | 125 |
| 75 and 175 | 525 |
| 172 and 104 | 4472 |
| 111 and 85 | 9435 |
| 173 and 66 | 11418 |