Question

If two positive ingeters a and b are expressible in the form a = pq² and b = p³q; p, q being prime number, then LCM (a, b) is

Options

• pq

• p³q³

• p³q²

•  p²q²

Answer 1

Two positive integers are expressed as follows:

`a=pq^2`

`b=q^3p`

 

p and q are prime numbers.

Then, taking the highest powers of p and q in the values for a and b we get:

LCM =`(a,b)=`

Hence the correct choice is (c).