Question

what is a LCM of 24 and 36​

Answer 1

Answer:

72

Step-by-step explanation:

Answer :-

Step 1 :- Writing their multiples

24 = 24, 48, 72, 96 ...

36 = 36, 72, 108, 144 ...

Step 2 :- Finding their common multiple

Since only one common multiple is there i.e 72.

So,

Common multiple of 24 and 36 = 72

Step 3 :- Finding the LCM

The LCM is the lowest common multiple. So,

LCM of 24 and 36 is 72

Answer 2

To find : LCM of $24$ and $36$

Solution :

• LCM is the least common multiple of number .  
• To find the LCM of $24$ and $36$ we find prime factors of $24$ and $36$ .
• Prime factors of $24= 2\times 2\times 2\times 3$

                                        $= 2^{3} \times3^{1}$

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

                                        $= 2^{2} \times3^{2}$

• LCM of $24$ and $36$ =  $2\times 2\times 2\tiems\times3\times3$

                                     $= 72$  

Hence , LCM of $24$ and $36$ is $72$.