Don't know if it helpful enought and "legal" to post here, but as I can see this video outlines the way of solution to be think ("second" part of the video espetially). I may be wrong or missleading (or even spoiler), if so please moderate or delete my comment
https://www.youtube.com/watch?v=oBt53YbR9Kk

Did same solution as you just added the conditon to be sure but nice and neat in your case
n % x == 0 && n % y == 0 ? true : false;