If two ppositive integers p and q are written as pp=a^2b^3 and q=a^3b. a,b are prime numbers then verify LCM (p,q) ×HCF(p,q) = pq
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Step-by-step explanation:
p=a^2b^3
Q=a^3b
HCF= a^2b
LCM=a^2b*ab^2
=a^3b^3
HCF*LCM=a^2b*a^3b^3
=a^5b^4
Product of nos= a^2b^3*a^3b
=a^5b^4
Hence verified
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