Question

which is the smallest perfect square that can be divided by 15 and 21 ? proper steps required.​

Answer 1

At first, we have to find the LCM of 15 and 21

i.e, 15 = 5*3

21 = 7*3

LCM = 3*5*7= 105

Here no number is repeated so the pair of 3*5*7 provides

( 3^2)*(5^2)*(7^2)=105^2= 11025

Therefore, 11025 is the smallest perfect square that can be divided by 15 and 21.

(The process is to first find the LCM of the given numbers and then square that LCM to get the smallest perfect square of the given numbers)