If the HCF of two numbers is 2 and their LCM is 27, what is the product of the two numbers?

Options

A. 54
B. 27
C. 45
D. 82

Answer

To find the product of two numbers when their HCF (Highest Common Factor) and LCM (Lowest Common Multiple) are given, we can use the relationship:

\[ \text{Product of two numbers} = \text{HCF} \times \text{LCM} \]

### Step-by-Step Solution:

1. **Identify the given values:**
- HCF = 2
- LCM = 27

2. **Use the formula for the product of two numbers:**
\[ \text{Product of two numbers} = \text{HCF} \times \text{LCM} \]

3. **Substitute the values into the formula:**
\[ \text{Product of two numbers} = 2 \times 27 \]

4. **Calculate the product:**
\[ 2 \times 27 = 54 \]

5. **Conclusion:**
The product of the two numbers is **54**.