Moufang Loops of Odd Order p1^3p2^3....pn^3 .

In [10], all Moufang loops of order p3q3 where p and q are odd  primes with p<q, were shown to be associative if and only if q≢ 1(modp). In this paper, we generalize this result to Moufang loops of order p31, p32...p3n  for distinct odd primes p1 ,p2.....pn with pi ≢ 1(modpj ) for every i, j ∈ {1,2,...n}