Name: Introduction to Numbers
Uploaded: 2019-07-19
Duration: 7 min 45 s
Description: In this video, we will cover some basic types of numbers their definitions and examples. This video will be helpful for all the competitive examinations....

Question

What is the LCM and HCF of twin-prime numbers?

Accepted Answer

We have to find the L.C.M and H.C.F of twin-prime numbers.

We know that twin prime numbers are numbers that differ from each other by $2$ .

The least common multiple of two or more given numbers is the lowest (or smallest or least) of their common multiples. And, the L.C.M of two prime numbers is the product of the two numbers. Twin prime numbers are prime numbers. Hence, their L.C.M is the product of the two numbers.

And, the Highest Common Factor (H.C.F) of two or more given numbers is the highest (or greatest) of their common factors. It is also called as Greatest Common Divisor (G.C.D).

Now, both the twin prime numbers and therefore, they have factors $1$ and the number themselves only. Hence, the only common factor between then will be $1$ , which will be H.C.F of these two numbers.

Therefore, the required L.C.M of twin prime numbers will be their product and H.C.F will be $1 .$

What is the LCM and HCF of twin-prime numbers?

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