During the summer you now lawn's for extra money. One customer pays you to mow every 6 days and the other customer every 9 day's. If you mow both lawn's today,in how many days will you mow both lawn's again on the same day?
What is the least common multiple of 9 and 6?
18
Right. So the next time you mow both lawns on the same day will be 18 days from now.
OK thanks Ms. Sue
You're welcome, Amy.
To find out how many days it will take for you to mow both lawns on the same day again, we need to determine the least common multiple (LCM) of 6 and 9.
The LCM is the smallest positive integer that is divisible by both 6 and 9.
To find the LCM of 6 and 9, we can start by listing the multiples of each number:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
Multiples of 9: 9, 18, 27, 36, 45, ...
From the lists above, we can see that the first common multiple of 6 and 9 is 18.
Therefore, you will mow both lawns on the same day again after 18 days.