Least Common Multiple (LCM) of 81 and 99
The least common multiple (LCM) of 81 and 99 is 891.
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 99?
First, calculate the GCD of 81 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 99 = 0 remainder 81 |
| 2 | 99 ÷ 81 = 1 remainder 18 |
| 3 | 81 ÷ 18 = 4 remainder 9 |
| 4 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 82 | 1722 |
| 26 and 88 | 1144 |
| 32 and 112 | 224 |
| 47 and 125 | 5875 |
| 105 and 11 | 1155 |