If two positive integers p and q can be written $p = a^{2} b$ and $q = a b^{2}$ , where p and q are prime numbers, then the LCM(p, q) is .

a b^{2}

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a^{2} b^{2}

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a b

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a^{2} b

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Solution

The correct option is B $a^{2} b^{2}$
$p = a \times a \times b$
$q = a \times b \times b$
LCM(p, q)
$= a \times a \times b \times b$
$= a^{2} b^{2}$

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If two positive integers p and q can be written p=a2b and q=ab2 , where p and q are prime numbers, then the LCM(p, q) is .

The correct option is B a2b2p=a×a×b q=a×b×b LCM(p, q) =a×a×b×b =a2b2

If two positive integers p and q can be written $p = a^{2} b$ and $q = a b^{2}$ , where p and q are prime numbers, then the LCM(p, q) is .

The correct option is B $a^{2} b^{2}$
$p = a \times a \times b$
$q = a \times b \times b$
LCM(p, q)
$= a \times a \times b \times b$
$= a^{2} b^{2}$