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 |
|---|---|
| 120 and 195 | 1560 |
| 179 and 174 | 31146 |
| 138 and 158 | 10902 |
| 159 and 32 | 5088 |
| 22 and 146 | 1606 |