Least Common Multiple (LCM) of 141 and 181
The least common multiple (LCM) of 141 and 181 is 25521.
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 181?
First, calculate the GCD of 141 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 181 = 0 remainder 141 |
| 2 | 181 ÷ 141 = 1 remainder 40 |
| 3 | 141 ÷ 40 = 3 remainder 21 |
| 4 | 40 ÷ 21 = 1 remainder 19 |
| 5 | 21 ÷ 19 = 1 remainder 2 |
| 6 | 19 ÷ 2 = 9 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 169 | 22815 |
| 100 and 46 | 2300 |
| 49 and 127 | 6223 |
| 60 and 61 | 3660 |
| 50 and 55 | 550 |