Question

L.C.M. of two or more co-prime numbers is their____

Answer 1

Hint:This question is using the concept of LCM as well as co-prime numbers. Co-prime numbers are the numbers having 1 as a common factor. Use this property to get find their LCM and hence the solution to this question:

Complete step-by-step answer:
As we know that the two numbers which have only 1 as their common factor are known as co-primes.
For example, Factors of 5 are 1 and 5
Factors of 3 are 1 and 3.
Here the common factor is 1.
Thus 5 and 15 are the co-primes.
Now, to find out the LCM of two or more numbers using the factorization method, we have to find their factors. Then common will be taken as LCM.
We have to choose each prime number with the greatest power and then we have to multiply them to get their LCM. So, in the above example case,
LCM of 3 and 15 will be,
3 $ \times $ 5 = 15
Hence, we can say that the LCM of two co-prime numbers is nothing but their product.
$\therefore $ L.C.M. of two or more co-prime numbers is their product.

Note:Here two terms must be clear for getting a solution. One is LCM and the other is Co-primes. Least Common Multiple i.e. LCM is a method to find the minimum common multiple between any two or more numbers. LCM denotes the least value of common factor or multiple of any two integers. Co-prime number is a set of numbers that have only 1 as their common factor, which means their HCF will be 1.Then after this question it is very easy to get a solution.