0

Guest

Courses New

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

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

Grade:10

2 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
9 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.
.
.
.
.
.
.
Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
9 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.

Think You Can Provide A Better Answer ?

Other Related Questions on Discuss with colleagues and IITians

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More