Least Common Multiple (LCM) of 81 and 18
The least common multiple (LCM) of 81 and 18 is 162.
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 18?
First, calculate the GCD of 81 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 18 = 4 remainder 9 |
| 2 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 184 | 3128 |
| 187 and 116 | 21692 |
| 172 and 144 | 6192 |
| 77 and 10 | 770 |
| 54 and 180 | 540 |