Question

Take the smallest odd composite number and largest three digit prime number. What is the difference between the LCM and the HCF of these two numbers?

• A. $8336$
• B. $8972$
• C. $8874$
• D. $8566$

Answer 1

Answer: (B)

$8972$

Solution;

Smallest odd composite number$=9$

Largest 3- digit prime number $=997$

Since $9$ and $997$ are coprime, so

LCM of $9$ and $997=9\times 997=8973$

HCF of $9$ and $997=1$

So, difference between LCM and HCF $=8973-1=8972$

Hence, B is the correct option.