Question

What is the smallest 4 digit number which when
divided by 35 and 73 gives a reminder of 13 each?​

Answer 1

Given:

when  a number divided by 35 and 73 gives a reminder of 13 each.

To find:

smallest 4 digit number.

Solution:

1) To find the smallest four digit number we have to find the LCM of the given numbers:

LCM(35,73) = 2555.

2) LCM itself is the four digit number so to find the answer we just add the remainder only.

3) 2555 + 13 = 2568.

smallest 4 digit number is 2568.