00:01
This problem says at a local restaurant, the health inspector visits every seven days, and the fire inspector visits every 12 days.
00:07
How many days will pass before both inspectors visit on the same day? and if we want to figure out this answer, we need to figure out the least common multiple between these two values, because that's when our two inspectors would match up and have the same numbered day that they would both show up.
00:23
So when we look at our numbers, the health inspector would come every seventh day, which means he would also come on the 14th day, 21st, 28th, 35th, 42nd, 49th, 56th, 63rd, 70th, 77th, 84th, and then also the 91st, 98th, and then more after that.
00:52
And hopefully we'll run into our least common multiple before we get larger than 98, but if not we can continue our list...