Least Common Multiple (LCM) of 81 and 85
The least common multiple (LCM) of 81 and 85 is 6885.
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 85?
First, calculate the GCD of 81 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 85 = 0 remainder 81 |
| 2 | 85 ÷ 81 = 1 remainder 4 |
| 3 | 81 ÷ 4 = 20 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 170 | 9180 |
| 129 and 184 | 23736 |
| 189 and 134 | 25326 |
| 39 and 18 | 234 |
| 118 and 127 | 14986 |