The equation **HCF × A × B = LCM** is not quite correct in the general case. The relationship you're looking for is:

\[
\text{HCF}(A, B) \times \text{LCM}(A, B) = A \times B
\]

In words, the product of the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbers \(A\) and \(B\) is equal to the product of the two numbers themselves. So the correct equation is:

\[
\text{HCF}(A, B) \times \text{LCM}(A, B) = A \times B
\]

If you multiply the HCF of \(A\) and \(B\) by their LCM, it will give you the product of the numbers \(A\) and \(B\).

### Do you want details or have any further questions?

Here are 5 relative questions to consider:
1. What is the HCF of two specific numbers, and how is it calculated?
2. What is the LCM of two numbers, and how is it determined?
3. How can the relationship between HCF and LCM help in simplifying fraction problems?
4. How does this relationship change if more than two numbers are involved?
5. How can HCF and LCM be useful in solving real-world problems?

**Tip**: The HCF is also known as the GCD (Greatest Common Divisor) in some contexts.

Learn about the correct relationship between the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbers. This guide explains how the product of HCF and LCM equals the product of the two numbers, along with step-by-step examples. Suitable for Grades 6-8.

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