Least Common Multiple (LCM) of 181 and 135
The least common multiple (LCM) of 181 and 135 is 24435.
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 181 and 135?
First, calculate the GCD of 181 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 135 = 1 remainder 46 |
| 2 | 135 ÷ 46 = 2 remainder 43 |
| 3 | 46 ÷ 43 = 1 remainder 3 |
| 4 | 43 ÷ 3 = 14 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 102 | 8058 |
| 132 and 28 | 924 |
| 197 and 61 | 12017 |
| 186 and 200 | 18600 |
| 132 and 144 | 1584 |