The least five digit number which is exactly divisible by 12, 18, and 21 is:
The answer is 10080
First we need to find the Least Common Multiple (LCM) of 12, 18 and 21
12 = 2X2X3
18 = 2X3X3
21 = 3X7
Least Common Multiple of the above numbers is
2X2x3X3X7 = 252
In order to get the smallest 5 digit number we need to multiply 252 by 40
252 X.40 = 10080
10080 is divisible by 12, 18 and 21 without a remainder