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  1. The least perfect square, which is divisible by each of 2136 and 66 is:

anirudha padmanabh joshi , 10 Years ago
Grade 10
anser 2 Answers
Sourabh Singh

Last Activity: 10 Years ago

Hii

Do the prime factorisation of both the numbers

take common terms once and rest all of them also.

Multiply these numbers n sqare them up.

Answer is ready.



Best of Luck.
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Yash Baheti

Last Activity: 10 Years ago

Hi,

Find the prime factorization, U will see that for 2136 its 2.2.2.3.89
and for 36 its 2.3.11

So , as we knoe by the uniques property of perfect squares that there prime factorization has each factor in pairs strictly,.

So the prime factorization of least perfect square will be : 2.2.2.2.3.3.11.11.89.89 = 552062016

Another method will be to find LCM of both nos and form pairs of each and every nos. Whosoever cant be paired , add that no from ur side.
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