Least Common Multiple (LCM) of 141 and 182
The least common multiple (LCM) of 141 and 182 is 25662.
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 182?
First, calculate the GCD of 141 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 182 = 0 remainder 141 |
| 2 | 182 ÷ 141 = 1 remainder 41 |
| 3 | 141 ÷ 41 = 3 remainder 18 |
| 4 | 41 ÷ 18 = 2 remainder 5 |
| 5 | 18 ÷ 5 = 3 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 136 | 408 |
| 41 and 173 | 7093 |
| 189 and 135 | 945 |
| 54 and 163 | 8802 |
| 94 and 75 | 7050 |