48
That is a good answer but to get ALL answers - do the following:
12 = 3*4
16 = 4*4
Therefore 3*4*4 is the minimum number that is needed.
So to get all numbers
m*3^k*4^p
where m and k is any integer >0 and p is any integer >1
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The first number that 12 and 16 go into is 48.
48
Any multiple of 60. There are an infinite number of them.
Any multiple of 208.
Any multiple of 132.