Question

Find HCF and LCM of 24 and 36 by prime factorisation method

Answer 1

Hii..
Here is your answer..

Solution:-
LCM of 24 and 36:-

________
2 | 24,36
2. | 12,18
2 | 6,9
3 | 3,9
3 | 1,3
| 1,1

So,
LCM of 24,36
$= > 2 \times 2 \times 3 \times 3 \\ = > 72$
Now,
HCF of :-
$= > 24 = 2 \times 2 \times 2 \times 3 \\ = > 36 = 2 \times 2 \times 3 \times 3$
So,
Common factor =2,2 and 3
Higher common factor=12

Hope it helps you...

Answer 2

Answer:

$HCF(24,36)=12$

$LCM(24,36)=72$

Step-by-step explanation:

To find : HCF and LCM of 24 and 36 by prime factorization method ?

Solution :

Factorize the numbers 24 and 36,

$24=2\times 2\times 2\times 3$

$36=2\times 2\times 3\times 3$

HCF is the highest common factor the number common in both,

$HCF(24,36)=2\times 2\times 3$

$HCF(24,36)=12$

LCM is the least common factor the number common in both and left numbers,

$LCM(24,36)=2\times 2\times 3\times 2\times 3$

$LCM(24,36)=72$

Therefore, HCF and LCM of numbers 24 and 36 are 12 and 72 respectively.