The first number that 12 and 16 go into is 48.
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Every multiple of 48 is a multiple of both 16 and 12. There are an infinite number of them. multiples of 16, 16,32,48,64,etc. multiples of 12, 12,24,36,48,60,etc. common multiples of both 12 and 16 are the multiples of 48, 48,96,144,etc
Suppose 12 is the GM of 16 and x then 12 = sqrt(16*x) squaring both sides: 144 = 16*x so that x = 9
12
8, 4, 12, 16, etc.
13 is the only prime number between 12 and 16.