What is the largest possible two digit number by which 2179782 can be divided?

Question

Can you find the least possible number such that

If the number is divided by 3, it gives the remainder of 1;
If the number is divided by 4, it gives the remainder of 2;
If the number is divided by 5, it gives the remainder of 3;
If the number is divided by 6, it gives the remainder of 4.

Answer 1

Prime factors of 2179782 = 2 × 3 × 3 × 11 × 101 × 109
The largest 2- digit number would be 3x 3x 11= 99