Question

If a has exactly 2(including 1 and the number itself) factor and b has exactly 3(including 1 and the number itself)
factor then which of the following can not be the number of possible factors for LCM(a, b).

4
6
8
10​

Answer 1

There can not be 6 number of possible factors for LCM (A,B)

Given :

A has exactly 2 factors.

B has exactly 3 factors.

To Find :

Number of factors which can not be the possible factors for LCM (A,B).

Solution,

The number which have exactly 2 factors are : 2,3,5,7,11 etc.

The number which have exactly 3 factors are : 4,9,25,49 etc.

So, when we take LCM of the factors of the following numbers we will get the LCM 4,8 and 10.

Hence, there can not be 6 number of possible factors for LCM(A,B)

Answer 2

6 can not be number of possible factors for LCM (a,b).

Given - Number of factors

Find - Number that can not be factor

Solution - The number a, as per the given information can be, 2,3,5,7,11 etc. The number b, as per the given information can be, 4,9,25,49 etc.

So, the possible common factors here are 4,8 and 10. Hence, 6 won't be the possible common factor.

Thus, 6 can not be possible factor.

#SPJ2