Question

If two positive ingeters a and b are expressible in the form $a= pq^{2} and b= p^{3}q$; p,q being prime number, then LCM(a,b) is
(a) pq
(b) $p^{3}q^{3}$
(c) $p^{3}q^{2}$
(d) $p^{2}q^{2}$

Answer 1

SOLUTION :  

Option (c) is correct : p³q²

Given :  

a = pq²  & b = p³q , p & q are prime number.

The factors are as follows :  

a = p¹ × q²  

b = p³ × q¹  

LCM ( a,b) = p³q²

Hence, the correct option is (c) p³q².

★★LCM = LCM of two or more numbers =  product of the greatest power of each common prime factor involved in the numbers with highest power.

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

hey mate
refer to attachment