the product of the hcf and lcm of the smallest prime number and the smallest composite number is

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What is the HCF of the smallest prime number and the smallest composite number?

What is the HCF of the smallest prime number and the smallest composite number - The HCF of the smallest composite number and the smallest prime number is 2

What is the HCF of the smallest prime number and the smallest composite number?

Solution:

Prime numbers are the numbers that have only two factors, that are, 1 and the number itself.

Composite numbers can be defined as natural numbers that have more than two factors.

The smallest prime number is 2.

The smallest composite number is 4.

To find the HCF of 2 and 4 let us write their prime factorization.

2 = 2 4 = 2 × 2 HCF (2, 4) = 2

Thus, the HCF of the smallest composite number and the smallest prime number is 2.

What is the HCF of the smallest prime number and the smallest composite number?

Summary:

The HCF of the smallest composite number and the smallest prime number is 2.

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The product of the HCF and LCM of the smallest prime number and the smallest composite number is:

Click here👆to get an answer to your question ✍️ The product of the HCF and LCM of the smallest prime number and the smallest composite number is:

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

Easy Open in App Solution Verified by Toppr

Correct option is D)

The smallest composite number is 4, and the smallest prime number is 2.

we know that  the product of LCM and HCF of two numbers is equal to the product of two numbers.

So  product of the HCF and LCM of the smallest prime number and the smallest composite number is 4x2=8

So correct answer is option D

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Product of HCF and LCM of smallest prime number and smallest composite number is what?

Product of HCF and LCM of smallest prime number and smallest composite number is what?. Ans: Hint: To solve this question, we will first of all determine what is the smallest prime number and smallest composite number. Then we will proceed to finding...

Product of HCF and LCM of smallest prime number and smallest composite number is what?

Last updated date: 20th Jan 2023

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Hint: To solve this question, we will first of all determine what is the smallest prime number and smallest composite number. Then we will proceed to finding HCF and LCM of them. And then go for their product.Complete step by step answer:

We have the Smallest prime number as 2 and the smallest composite number = 4

Let a be 2, the smallest prime number and b be 4, the smallest composite number.

We have to find the HCF and LCM of a and b.

For this we will write the multiples of a and b which is given as,

2 = 2x1. And 4 = 2x2.

Then LCM of a=2 and b=4 is 4.

And the HCF of a=2 and b=4 is 2.

Therefore, product of LCM and HCF = 4 × 2

Hence, we get the product of LCM and HCF AS 8.

There is one more way to solve such a type of question.

We have a formula given as,

HCF(a,b).LCM(a,b)=a.b

HCF(a,b).LCM(a,b)=a.b

Therefore, using the above formula, we have that the product of hcf and lcm of two numbers can also be given as the product of the two numbers.

Hence, we get the product of the Smallest prime number as 2 and the smallest composite number as 4 is given by

4 × 2 = 8, which is the required result.

Note:

The possibility of error in such a type of question can be directly putting the formula given as

HCF(a,b).LCM(a,b)=a.b

HCF(a,b).LCM(a,b)=a.b

and solving the question. This formula holds true when we only have to find the product of HCF and LCM of only two numbers and not more than two. Always opt for going through the long process to get the desired result.

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