What is the smallest five-digit number whose highest common factor (HCF) with 144 is exactly 144?

Explanation

To find the smallest five-digit number divisible by 144, divide 10000 by 144, which gives approximately 69.44. Multiplying 144 by 70 results in 10080, the smallest five-digit multiple of 144. Therefore, 10080 is the least five-digit number having 144 as its HCF.