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 |
|---|---|
| 172 and 93 | 15996 |
| 88 and 165 | 1320 |
| 185 and 138 | 25530 |
| 117 and 42 | 1638 |
| 126 and 17 | 2142 |