Step 1

We have to find least common multiple of numbers:

8 and 12.

Least common multiple or LCM is referred as smallest positive number which is the multiples of two or more numbers.

Finding LCM by prime factorization method,

\(\displaystyle{8}={2}\times{4}\)

\(\displaystyle={2}\times{2}\times{2}\)

and, \(\displaystyle{12}={2}\times{6}\)

\(\displaystyle={2}\times{2}\times{3}\)

Step 2

Therefore we have to choose the common multiples from \(\displaystyle{\left({2}\times{2}\times{2}\right)}\) and \(\displaystyle{\left({2}\times{2}\times{3}\right)}\) common multiples are \(\displaystyle{2}\times{2}\times{2}\times{3}={24}\) ( here we also include multiples which are not common ).

Hence, least common multiple of the given numbers is 24.

We have to find least common multiple of numbers:

8 and 12.

Least common multiple or LCM is referred as smallest positive number which is the multiples of two or more numbers.

Finding LCM by prime factorization method,

\(\displaystyle{8}={2}\times{4}\)

\(\displaystyle={2}\times{2}\times{2}\)

and, \(\displaystyle{12}={2}\times{6}\)

\(\displaystyle={2}\times{2}\times{3}\)

Step 2

Therefore we have to choose the common multiples from \(\displaystyle{\left({2}\times{2}\times{2}\right)}\) and \(\displaystyle{\left({2}\times{2}\times{3}\right)}\) common multiples are \(\displaystyle{2}\times{2}\times{2}\times{3}={24}\) ( here we also include multiples which are not common ).

Hence, least common multiple of the given numbers is 24.