To find the LCM of 24 and 6, we can use the prime factorization method.
First, we find the prime factorization of each number:
24 = 2 x 2 x 2 x 3
6 = 2 x 3
Then, we identify the highest power of each prime factor that appears in either number.
The prime factor 2 appears three times in 24, but only once in 6. Therefore, we take the highest power of 2, which is 2 x 2 x 2 = 8.
The prime factor 3 appears once in both numbers, so we take the highest power of 3, which is 3.
Finally, we multiply these together to get the LCM:
LCM(24, 6) = 8 x 3 = 24
Therefore, the LCM of 24 and 6 is 24.
~~~Harsha~~~