Question

# Find the least common multiple of the given numbers 8 and 12

Factors and multiples
Find the least common multiple of the given numbers. 8 and 12

2021-08-07
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.