Finding the least common denominator can be a tricky task. However, when dealing with only two numbers, it is much easier. In this case, we are trying to find the least common denominator of 6 and 9.

Firstly, we need to list out the multiples of both numbers. For 6, the first few multiples are 6, 12, 18, 24, 30, 36, etc. For 9, the first few multiples are 9, 18, 27, 36, 45, 54, etc.

Now, we need to find the smallest multiple that appears in both lists. In this case, that would be 18. Hence, the least common denominator of 6 and 9 is 18.

It is important to note that the least common denominator is used in adding or subtracting fractions with different denominators. By converting the fractions to their least common denominator, the fractions can be easily added or subtracted.

In conclusion, finding the least common denominator of 6 and 9 involves listing out the multiples of both numbers and finding the smallest multiple that appears in both lists. This number is then used to convert fractions to a common denominator, making them easier to add or subtract.