Least Common Multiple (LCM) of 135 and 181
The least common multiple (LCM) of 135 and 181 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 135 and 181?
First, calculate the GCD of 135 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 181 = 0 remainder 135 |
| 2 | 181 ÷ 135 = 1 remainder 46 |
| 3 | 135 ÷ 46 = 2 remainder 43 |
| 4 | 46 ÷ 43 = 1 remainder 3 |
| 5 | 43 ÷ 3 = 14 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 155 | 16585 |
| 75 and 91 | 6825 |
| 15 and 37 | 555 |
| 146 and 112 | 8176 |
| 116 and 171 | 19836 |