Question

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

Factors and multiples
ANSWERED
asked 2021-08-06
Find the least common multiple of the given numbers. 8 and 12

Expert Answers (1)

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.
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