Question

If two positive integers p and q can be expressed as p = ab² and q = a³b; a, b being prime numbers, then find
the LCM (p, q)​

Answer 1

p=a^2b^3

q= a^3b

HCF(p,q)a^2b

[ product of the smallest power of each common prime factors in the numbers ]

LCM(p,q)a^3b^3

[product of the greatest power of each prime factors,in the numbers]

now ,

HCF(p,q)×LCM(p,q)=a^2b×a^3b^3=a^5b^4

______(1)

[a^m×b^m=a^m+n]

pq=a^2b^3×a^3b

=a^5b^4_________(2)

from(1)and(2),we conclude hcf (p,q)×LCM(p,q)=pq

Answer 2

Answer:

the right answer is a³b² please mark as brainlist