Question

LCM of 16 and 64 by Prime factorization? ​

Answer 1

Step-by-step explanation:

Alternatively, the lcm of 16 and 64 can be found using the prime factorization of 16 and 64: The prime factorization of 16 is: 2 x 2 x 2 x 2. The prime factorization of 64 is: 2 x 2 x 2 x 2 x 2 x 2..

Answer 2

S O L U T I O N :

Taking L.C.M. (Least Common Multiple) 16 and 64.

$\begin{array}{r|l}2& 16\\ \cline{2-2} 2 & 8 \\ \cline{2-2} 2 & 4 \\ \cline{2-2} 2 & 2 \\ \cline{2-2} & 1\end{array}$

&

$\begin{array}{r|l}2& 64\\ \cline{2-2} 2 & 32\\ \cline{2-2} 2 & 16 \\ \cline{2-2} 2 & 8 \\ \cline{2-2} 2& 4 \\ \cline{2-2} 2 & 2 \\ \cline{2-2} & 1\end{array}$

Now;

The prime factorization of 16 is 2 × 2 × 2 × 2.

The prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2