Least Common Multiple (LCM) of 136 and 81
The least common multiple (LCM) of 136 and 81 is 11016.
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 136 and 81?
First, calculate the GCD of 136 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 81 = 1 remainder 55 |
| 2 | 81 ÷ 55 = 1 remainder 26 |
| 3 | 55 ÷ 26 = 2 remainder 3 |
| 4 | 26 ÷ 3 = 8 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 81 | 405 |
| 159 and 177 | 9381 |
| 129 and 187 | 24123 |
| 149 and 84 | 12516 |
| 51 and 74 | 3774 |