Question

If two positive integer p& q can be expressed as p = ab2 & q =a2b ; a,b being prime number .Find the LCM of (P,Q)

Answer 1

As per question, we have,

p = ab2 = a × b × b

q = a3b = a × a × a × b

So, their Least Common Multiple (LCM) = a3 × b2

Answer 2

Answer:

$LCM(p,q)= a^{2}b^{2}$

Step-by-step explanation:

$Given,\\ p=ab^{2}\: and \:q=a^{2}b,\: \\where\:p,q\: are \: two \: positive \\integers,\: a,b \: are \: prime$

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

$LCM(p,q)= a^{2}\times b^{2}$

/* Product of the greatest power of each Prime factor of the numbers */

Therefore,

$LCM(p,q)= a^{2}b^{2}$

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