Question

Topic - What is the LCM of 36 and 63
(c) 36 and 63​

Answer 1

Given: The numbers are$36 and 63$.

We have to find the LCM of the above numbers.

We are solving in the following way:

We have,

The numbers are$36 and 63$

Prime Factorization of 36 is:

$2 \times 2 \times 3 \times 3 => 22 \times 32$

Prime Factorization of 63 is:

$3 \times 3 \times 7 => 32 \times71$

For each prime factor, we have to find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

$2, 2, 3, 3, 7$

Multiplying these factors together to find the LCM:

LCM $= 2 \times2 \times 3 \times 3 \times 7 = 252$

Hence, the LCM of the above numbers is$252$.

Answer 2

To find : LCM of $36$ and $63$  

Solution :

• To find the LCM of $36$ and $63$   we find prime factors of $36$ and $63$  

• Prime factors of $36 = 2\times 2\times 3\times 3$

       Prime factors of $63 = 3\times 3\times 7$

• LCM  $= 2\times 2 \times 3\times3 \times 7$

                 $= 252$

Hence, LCM of $36$ and $63$  is $252$.