Question

*find the LCM of 20 and 32 by prime factorization method*​

Answer 1

Step-by-step explanation:

LCM of 20 and 32

20 = 2 × 2 × 5

36 = 2 × 2 × 3 × 3

common factors = 2 × 2

LCM = 4

HOPE THIS HELPS ^^

Answer 2

Answer :

• 160

Given :

• Numbers = 20 and 32.

To find :

• the LCM of 20 and 32 by prime factorization method.

Solution :

⇒ Let's find the LCM of 20 and 32 through the prime factorization method.

$\Large \begin{array}{c|c} \underline{\sf {2}}&\underline{\sf {\; \; 20,32 \; \; \: }} \\ \underline{\sf {2}}&\underline{\sf {\; \; 10,16 \; \; \: }}\\ \underline{\sf {5}}&\underline{\sf {\; \; 5,8 \; \; \: }} }\\ \underline{\sf {2}}&\underline{\sf {\; \; 1,8 \; \; \: }} }\\ \underline{\sf {2}}&\underline{\sf {\; \; 1,4 \; \; \: }} }\\ \underline{\sf {2}}&\underline{\sf {\; \; 1,2 \; \; \: }} }\\ {\sf {}} & {\sf {\; \; 1,1 \; \; \: }} \end{array}$

→ Least Common Factor = 2 × 2 × 5 × 2 × 2 × 2

= 4 × 5 × 2 × 2 × 2

= 20 × 2 × 2 × 2

= 40 × 2 × 2

= 80 × 2

= 160

• Therefore, the least common factor of 20 and 32 is 160.