Question

The product of the HCF and LCM of the smallest prime number and the smallest
composite number is :
(A) 2
(B) 4
(C) 6
(D) 8​

Answer 1

$\huge \boxed{ \fcolorbox{cyan}{red}{Answer : }}$

(D)

$\sf{Smallest \: prime \: number = 2}$

$\sf{Smallest \: composite \: number = 4}$

$\sf \red{LCM \: of \: 2 \: and \: 4 = 4}$

$\sf \blue{HCF \: of \: 2 \: and \: 4 = 2}$

we know that

$\sf{Product \: of \: LCM and HCF = 4 × 2}$

$\rm \pink{ = 8}$

(D)

Answer 2

AnswEr:

Option (D) is Correct

Step by Step Explanation:-

Smallest Prime Number = 2.

Smallest Composite Number = 4.

We know that,

Product of HCF & LCM of Two Numbers = Product of the Two Numbers.

Now, Product of the HCF & LCM of the smallest Prime Number & the smallest Composite Number.

$:\implies\sf\; 2 \times\; 4$

$:\implies\large\boxed{\sf{\red{8}}}$

$\bold{\underline{\sf{\red{Hence,\; Option\; D\; Is\; correct}}}}$

$\rule{150}3$

A Composite Number has more than two Factors.

A prime Number has only two Factors itself & 1.

$\rule{150}3$