Least Common Multiple (LCM) of 87 and 81
The least common multiple (LCM) of 87 and 81 is 2349.
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 87 and 81?
First, calculate the GCD of 87 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 81 = 1 remainder 6 |
| 2 | 81 ÷ 6 = 13 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 198 | 6138 |
| 149 and 193 | 28757 |
| 20 and 194 | 1940 |
| 96 and 185 | 17760 |
| 188 and 165 | 31020 |