Least Common Multiple (LCM) of 80 and 81
The least common multiple (LCM) of 80 and 81 is 6480.
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 80 and 81?
First, calculate the GCD of 80 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 81 = 0 remainder 80 |
| 2 | 81 ÷ 80 = 1 remainder 1 |
| 3 | 80 ÷ 1 = 80 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 196 | 13524 |
| 125 and 65 | 1625 |
| 103 and 102 | 10506 |
| 195 and 127 | 24765 |
| 75 and 154 | 11550 |