Least Common Multiple (LCM) of 140 and 181
The least common multiple (LCM) of 140 and 181 is 25340.
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 140 and 181?
First, calculate the GCD of 140 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 181 = 0 remainder 140 |
| 2 | 181 ÷ 140 = 1 remainder 41 |
| 3 | 140 ÷ 41 = 3 remainder 17 |
| 4 | 41 ÷ 17 = 2 remainder 7 |
| 5 | 17 ÷ 7 = 2 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 179 | 10561 |
| 41 and 146 | 5986 |
| 45 and 162 | 810 |
| 193 and 135 | 26055 |
| 129 and 129 | 129 |