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If two positive integers p and q are written in the form of p = square b cube and cube equals a QP where A and B are prime numbers then verify LCM of P and Q into HCF of a p and q =pq

Posted by Pavan Pavu 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 5 months ago

LCM(p,q) = a³b³
and HCF(p,q) = a²b
LCM(p,q) {tex}\times{/tex} HCF(p,q) = a³b³ {tex}\times{/tex} a²b
LCM (p,q) {tex}\times{/tex} HCF (p,q) = a⁵b⁴ .... (1)
and pq = a²b³{tex}\times{/tex} a³b= a⁵b⁴ .... (2)
from eqⁿ(1) and (2)
LCM (p, q) {tex}\times{/tex} HCF (p, q) = pq

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