Question

if two positive integers P and Q can be expressed as p = a b square and cube equals A cube B where A and B being prime numbers then find the LCM of P and Q

Answer 1

$Given \:P = ab^{2} \: --(1) \:and$

$\:Q = a^{3}b \:--(2)$

$Where \: a \:and \: b \: are \: prime \: numbers$

$L.C.M \: of \: P \:and \:Q = a^{3} b^{2}$

/* Product of the greatest power of each prime factors of the numbers. */

Therefore.,

$\red{ L.C.M \: of \: P \:and \:Q}\green{ = a^{3} b^{2}}$

•••♪