There are three two-digit numbers divisible by both 5 and 6: 30, 60, and 90.
To determine this, we need to find the least common multiple (LCM) of 5 and 6. Since 5 and 6 have no common factors other than 1, their LCM is simply their product: 5 * 6 = 30.
Now, we look for multiples of 30 that are two-digit numbers:
- 30 * 1 = 30
- 30 * 2 = 60
- 30 * 3 = 90
- 30 * 4 = 120 (This is a three-digit number, so we stop here.)
Therefore, the two-digit numbers divisible by both 5 and 6 are 30, 60, and 90.
