Question

Write the Smallest Number Divisible by Both $306$and $657$?

Answer 1

Determine the Smallest Number Divisible by Both $306$and $657$.

To find the smallest number divisible by Both $306$and $657$ we need to find the L.C.M.

Prime factors of $306=2\times 3^2\times 17$

Prime factors of $657=3\times 3\times 73$

Thus, the $LCM$ of $306$and $657$:

$$\begin{gathered} \mathrm{LCM}\left(306,657\right)=2\times 3^2\times 17\times 73 \\ =2\times 9\times 17\times 73 \\ =18\times 17\times 73 \\ =306\times 73 \\ =22338 \end{gathered}$$

Hence, the smallest number that is divisible by both $306$and $657$is $22338$.