 <translate> If 2^4, 2^3, and 11^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 176
(B) 288
(C) 363
(D) 396
(E) 484 Hmmm, my stream of consciousness: <yor> Ti 2^4, 2^3, ati 11^3 ba jẹ awọn oludari ti ọja ti 1,452 ati w, nibi ti w jẹ iye odidi rere, kini iye ti o kere julọ ti w? Àwọn àyè: (A) 176 (B) 288 (C) 363 (D) 396 (E) 484 Hmmm, iṣan mimọ mi: 