Math problem.

[pauraque_bk]

I need a formula that will tell me, for a given number of days in a year and a given number of days in a month, how many years it will take for the cycles to match up -- in other words, if we start with the new moon on the first day of the year, how many years until the new moon falls on that day again? (Assumption being that a month is shorter than a year.)

This is driving me crazy. Left-brainers, please help!

Comments

[nopejr.livejournal.com]

Nineteen.

[pauraque]

No, no, I need a formula that will tell me that for _any_ value of "days in a year" and "days in a month".

[nopejr.livejournal.com]

...as in, what's the smallest multiple of y/m that's an integer? Or, rather, what's the lowest common multiple of y and m?

[pauraque]

No, that's what I thought at first too, but it's wrong. vvvexation, answering below, got it right.