They both have the number 1 as one of their digits.
Also, they both have 1 and 3 as factors.
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the number 9
81 9 48 144 12
The Greatest Common Divisor of two numbers is the largest number that will divide into both evenly. For example, although 27 and 81 are both divisible by 3, it wouldn't be the greatest common divisor, because 27 divides into 81 evenly as well: the greatest common divisor of 27 and 81 is 27.
Oh, dude, the least common multiple (LCM) of 81 and 72 is 648. It's like when you're trying to find the smallest number that both 81 and 72 can both divide into evenly without leaving a remainder. So yeah, 648 is the magic number that makes both 81 and 72 happy.