Least Common Multiple (LCM) of 81 and 93
The least common multiple (LCM) of 81 and 93 is 2511.
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 81 and 93?
First, calculate the GCD of 81 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 93 = 0 remainder 81 |
| 2 | 93 ÷ 81 = 1 remainder 12 |
| 3 | 81 ÷ 12 = 6 remainder 9 |
| 4 | 12 ÷ 9 = 1 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 103 | 8549 |
| 141 and 17 | 2397 |
| 80 and 60 | 240 |
| 123 and 105 | 4305 |
| 134 and 78 | 5226 |