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Question : If the HCF of two prime numbers is twice the LCM, then the product of two numbers is ______________. 

Doubt by Gauri

Solution : 
HCF of two prime number is always equal to 1.
Also, 
HCF = 2×LCM
1 = 2×LCM
LCM = 1/2

We know,
Product of two numbers = a×b
a×b=HCF×LCM
a×b=1×1/2
a×b = 1/2 = 0.5

[Gauri, you are requested to please confirm this question from your teacher, the question doesn't seem correct to us.]


Similar Question : 

⭐ What is the HCF of two co-prime number?
Ans : 1

⭐ What is the HCF of two prime numbers X and Y?
Ans : 1 

⭐ Give example of two numbers whose LCM is equal to their HCF? 
Ans : LCM and HCF of two same number are always equal to each other.

⭐ If the sum of LCM and HCF of two numbers is 50 and their LCM is 20 more than their HCF. Then the product of the two numbers will be
a) 525
b) 425
c) 625
d) 325

Ans : a) 525