Question

What is the least common multiple of 8 and 16?

Answer 1

Hint: In this problem, we have to find the Least common multiple of 8 and 16. Here we have to know that the least common multiple means the smallest number that two numbers both can get to or which is the common multiple between two numbers. We know that 8 and 16 have the smallest common factor which is the least common multiple. We can now find the number.

Complete step-by-step solution:
Here we have to find the least common multiple of 8 and 16.
We know that the least common multiple means the smallest number that two numbers both can get to or which is the common multiple between two numbers.
We can now write the multiple of 8,
\[\Rightarrow 8,16,24,32,40,48.....\]
We can now write the multiple of 16, we get
\[\Rightarrow 16,32,48,64,80.....\]
Here we can see that 16 is the smallest number which is common to the multiple of 8 and 16.
Therefore, the least common multiple of 8 and 16 is 16.

Note: We should remember the concept of least common multiple, which means the smallest number that two numbers both can get to or which is the common multiple between two numbers. We should know that we have different method to find the least common multiple like listing the multiples, prime factorization and division