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

Solution

## The correct option is C $$8972$$Solution;Smallest odd composite number$$=9$$Largest  3- digit prime number $$=997$$Since $$9$$ and $$997$$ are coprime, soLCM of $$9$$ and $$997=9\times997=8973$$HCF of $$9$$ and $$997=1$$So, difference between LCM and HCF $$=8973-1=8972$$Hence, B is the correct option.Maths

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