We need to find the primed factor form of the lowest common denominator of the fractions 2/15 and 5/12, hence we first need to find the lowest common factor between 15 and 12, let's do that by listing the multiples of each number:
12, 24, 36, 48, 60, 72, ....
15, 30, 45, 60, 75, ....
From the multiples above we notice that the least common denominator will be 60.
Now we need to find the prime factorization of 60, let's do that:
Since we can't have any further factorization of the factors this is the prime factored form of the LCD, therefore, the answer is the third option.