On the planet TYM, there are two beautiful moons. Raptrat is purple and Putru is gold. Raptrat is full every 32 TYM days, while Putru moves more slowly and is only full every 44 TYM days. The moons are named after a famous couple in an ancient legend. According to the legend, the couple is part of a great dance and only get to kiss when both moons are full on the same night. If both moons are full tonight, how long will it be until Raptrat and Putru kiss again?
It will be 352 days until the two full moons meet again in the sky.
Look for the least common multiple of 32 and 44, because that is the numbers of days it will take before the moons are again full at the same time.
The simplest way to find out is to write out the multiples of each number and look for the common multiples.
