We want to find the value of $X$ in the given situation.
To find the product of the LCM of 8 and 6 and the GCD of $X$ and 6, we need to find the LCM and GCD of the numbers 8, 6, and $X$.
The LCM of two numbers is the smallest multiple that is divisible by both numbers.
The GCD of two numbers is the largest divisor that is common to both numbers.
We are given that the product of the LCM and GCD is 48, so we can write:
LCM * GCD = 48
For the numbers 8 and 6, we know that the LCM is 24 and the GCD is 2.
Substituting these values into the equation, we have:
24 * 2 = 48
Now, we need to find the value of $X$ such that the GCD of $X$ and 6 is 2.
The GCD of $X$ and 6 can be 2 only if $X$ is a multiple of 2.
Therefore, the possible values of $X$ are 2, 4, 6, 8, ...
However, we are given that the product of the LCM and GCD is 48, so $X$ must be 8.
The value of X is 8.
The answer is: 8
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Find the product of the least common multiple (LCM) of $8$ and $6$ and the greatest common divisor (GCD) of X and $6$.
If we know the answer to the above question is 48, what is the value of unknown variable X?

### Answer:
