Least Common Multiple (LCM) of 81 and 25
The least common multiple (LCM) of 81 and 25 is 2025.
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 25?
First, calculate the GCD of 81 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 25 = 3 remainder 6 |
| 2 | 25 ÷ 6 = 4 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 16 | 2000 |
| 70 and 159 | 11130 |
| 14 and 12 | 84 |
| 84 and 122 | 5124 |
| 82 and 110 | 4510 |