Least Common Multiple (LCM) of 145 and 81
The least common multiple (LCM) of 145 and 81 is 11745.
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 145 and 81?
First, calculate the GCD of 145 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 81 = 1 remainder 64 |
| 2 | 81 ÷ 64 = 1 remainder 17 |
| 3 | 64 ÷ 17 = 3 remainder 13 |
| 4 | 17 ÷ 13 = 1 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 12 | 588 |
| 31 and 105 | 3255 |
| 164 and 81 | 13284 |
| 181 and 108 | 19548 |
| 153 and 65 | 9945 |