It is 45*31 = 1395.
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LCD(21, 45) = 315
The greatest common denominator is infinite. The least common denominator is 45.
The common denominator of 15 and 9 is 45.
There are infinitely many common denominators and so it makes no sense to ask about the common denominator. For example, 45000 is a common denominator.
If I wanted to be nasty about it, I would say 1, because the least common denominator of 45/1 and 75/1 is 1. The least common denominator of two fractions is the least common multiple of their denominators. I presume you are asking for the least common multiple of 45 and 75, which is 225.