In this problem, you can assume the following fact about least common multiples (lcm): FACT: If h, ? are integers such that h|t and ?|t, then lcm(h, ?)|t Now prove the following: Suppose p and q are...

In this problem, you can assume the following fact about least common multiples (lcm): FACT: If h, ? are integers such that h|t and ?|t, then lcm(h, ?)|t
Now prove the following:
Suppose p and q are distinct primes such that ordp a = h and ordq a = k

Prove that ordpq a= lcm(h, k) (just check the two conditions of order)