Explanation:
if you made no typo, the answer is
2x²×3y²×7p² = 42x²y²p² = 42(xyp)²
the LCM (least common multiple) is the product of the longest chains of prime factors of the involved terms or numbers.
we don't know anything about x², y², p², so we have to multiply them as a whole.
for 2, 3, 7 the prime factors are just the numbers themselves. besides by 1 they can only divided by themselves without remainder.
so, they themselves are the longest chains of prime factors, and we have to multiply them too.
so, the result is as described above.
please use the form that your teacher expects you to.