What is the LCM of 6 24 and 32 using prime factorization?

Answer 1

lcm(6, 24, 32) = 96.

6 = 2 x 3

24 = 2^3 x 3

32 = 2^5

lcm = 2^5 x 3 = 96

Each number is represented in its prime factorization in power format. The LCM is then calculated as the product of each prime to its highest power across all the factorizations.

Answer 2

2 x 3 = 6

2 x 2 x 2 x 3 = 24

2 x 2 x 2 x 2 x 2 = 32

2 x 2 x 2 x 2 x 2 x 3 = 96, the LCM

Answer 3

624 = 2*2*2*2*3*1332= 2*2*2*2*2

So, LCM(624, 32) = 2*2*2*2*2*3*13 = 1248.