The formula to calculate the Least Common Multiple (LCM) is:
\[ \text{LCM}(X, Y) = \frac{P(X \times Y)}{\text{HCF}(X, Y)} \]
Where:
The Least Common Multiple of Two Numbers is the least positive integer other than zero that is divisible by both numbers.
The Product of Two Numbers is the result of the multiplication of two numbers.
The Highest Common Factor of Two Numbers is the common highest positive integer which divides both numbers.
Let's assume the following values:
Using the formula:
\[ \text{LCM}(X, Y) = \frac{P(X \times Y)}{\text{HCF}(X, Y)} \]
Evaluating:
\[ \text{LCM}(X, Y) = \frac{45}{5} \]
The LCM is 9.
| Product of Two Numbers | HCF of Two Numbers | LCM |
|---|---|---|
| 20 | 2 | 10.0000 |
| 20 | 4 | 5.0000 |
| 20 | 6 | 3.3333 |
| 20 | 8 | 2.5000 |
| 20 | 10 | 2.0000 |
| 40 | 2 | 20.0000 |
| 40 | 4 | 10.0000 |
| 40 | 6 | 6.6667 |
| 40 | 8 | 5.0000 |
| 40 | 10 | 4.0000 |
| 60 | 2 | 30.0000 |
| 60 | 4 | 15.0000 |
| 60 | 6 | 10.0000 |
| 60 | 8 | 7.5000 |
| 60 | 10 | 6.0000 |
| 80 | 2 | 40.0000 |
| 80 | 4 | 20.0000 |
| 80 | 6 | 13.3333 |
| 80 | 8 | 10.0000 |
| 80 | 10 | 8.0000 |
| 100 | 2 | 50.0000 |
| 100 | 4 | 25.0000 |
| 100 | 6 | 16.6667 |
| 100 | 8 | 12.5000 |
| 100 | 10 | 10.0000 |