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Question
If two positive ingeters a and b are expressible in the form a = pq2 and b = p3q; p, q being prime number, then LCM (a, b) is
Options
pq
p3q3
p3q2
p2q2
Solution
Two positive integers are expressed as follows:
`a=pq^2`
`b=q^3p`
p and q are prime numbers.
Then, taking the highest powers of p and q in the values for a and b we get:
LCM =`(a,b)=`
Hence the correct choice is (c).
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