The product of HCF and LCM of 18 and 15 is

Options

A. 120
B. 150
C. 175
D. 270

Answer

To find the product of the HCF (Highest Common Factor) and LCM (Lowest Common Multiple) of the numbers 18 and 15, we can use the relationship between these three values. Here’s the step-by-step solution:

### Step 1: Understand the Relationship
We know that the product of the HCF and LCM of two numbers is equal to the product of the two numbers themselves. This can be expressed as:
\[ \text{HCF} \times \text{LCM} = \text{Number 1} \times \text{Number 2} \]

### Step 2: Identify the Numbers
In this case, the two numbers are:
- Number 1 = 18
- Number 2 = 15

### Step 3: Calculate the Product of the Two Numbers
Now, we will calculate the product of 18 and 15:
\[ 18 \times 15 \]

### Step 4: Perform the Multiplication
Calculating the multiplication:
\[ 18 \times 15 = 270 \]

### Step 5: Conclusion
Since we have established that:
\[ \text{HCF} \times \text{LCM} = 18 \times 15 \]
We can conclude that:
\[ \text{HCF} \times \text{LCM} = 270 \]

Thus, the product of the HCF and LCM of 18 and 15 is **270**.

### Final Answer
The product of HCF and LCM of 18 and 15 is **270**.

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