Question

what is the LCM of P and where = a³ b² and q = b³ a²? ​

Answer 1

Step-by-step explanation:

$p = {a}^{3} {b}^{2} \\ q = {b}^{3} {a}^{2}$

their highest common factor is

${a}^{2} {b}^{2}$

hence, by formula

lcm*hcf=no1*no2

$lcm = \frac{n _{1}n _{2} }{hcf } \\ = \frac{{a}^{3} {b}^{2} \times {a}^{2} {b}^{3}}{{a}^{2} {b}^{2}} = {a}^{3} {b}^{3}$

Therefore their lcm = a^3*b^3

Answer 2

Answer:

LCM of P and Q where

$p = {a}^{3} {b}^{2} \\ q = {a}^{2} {b}^{3}$

LCM is found by multiplying the highest power of the common prime factors and all other uncommon u prime factors of the given two numbers.

$lcm(p.q) = {a}^{3} \times {b}^{3} \\ = {a}^{3} {b}^{3}$

Hope this helps.

Thanks.