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The product of H.C.F. and L.C.M. of the smallest prime number and smallest composite number is
  • a)
    2
  • b)
    6
  • c)
    4
  • d)
    8
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The product of H.C.F. and L.C.M. of the smallest prime number and smal...
The question is asking for the product of the Highest Common Factor (H.C.F.) and Lowest Common Multiple (L.C.M.) of the smallest prime number and the smallest composite number.

Smallest Prime Number: The smallest prime number is 2. A prime number is a number that is only divisible by 1 and itself. Since 2 is the smallest prime number, it is only divisible by 1 and 2.

Smallest Composite Number: The smallest composite number is 4. A composite number is a number that has more than two factors. In other words, it is not a prime number. The factors of 4 are 1, 2, and 4.

Finding the H.C.F. and L.C.M. of 2 and 4:

H.C.F. (Highest Common Factor): The highest common factor is the largest number that divides both 2 and 4 without leaving any remainder. In this case, the H.C.F. of 2 and 4 is 2 because it is the largest number that divides both 2 and 4 without leaving any remainder.

L.C.M. (Lowest Common Multiple): The lowest common multiple is the smallest number that is a multiple of both 2 and 4. In this case, the L.C.M. of 2 and 4 is 4 because it is the smallest number that is divisible by both 2 and 4.

Calculating the product of H.C.F. and L.C.M.:

Product = H.C.F. * L.C.M.
Product = 2 * 4
Product = 8

Therefore, the product of the H.C.F. and L.C.M. of the smallest prime number (2) and the smallest composite number (4) is 8.
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Community Answer
The product of H.C.F. and L.C.M. of the smallest prime number and smal...
Smallest prime number = 2
Smallest composite number = 4
∴ Required product = 2 × 4 = 8
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