Question

Use prime factorization to find the LCM.
a. 6, 16

Answer 1

Can you write the prime factorization?

Answer 2

I'd give you an example.

Answer 3

OK, so if you have, say, \(7\) and \(21\), then first you do the prime factoring:\[7 = 7^1 \\ 21 = 7^1 \cdot 3^1\]The highest power of \(7\) in both numbers is \(1\) and for \(3\), it's \(1\). Simply multiply \(3^1\cdot 7^1 = \boxed{21}\).

Answer 4

that's hoe it came. so i don't know how to do it. i am not good at math at all

Answer 5

Can you do the prime factorization?

Answer 6

i don't even know that that is

Answer 7

Every number can be expressed as a product of prime numbers. So there's a way that you can express \(6\) as the product of some prime numbers. The same goes for \(16\).

Answer 8

ok

Answer 9

So try to express \(6\) and \(16\) as product of primes?

Answer 10

would it be 48?

Answer 11

How did you get \(48\)?

Answer 12

i don't know i just picked a number

Answer 13

That is incorrect.

Answer 14

Prime factors of positive integers can be found by using the primes in order as divisors.

Answer 15

The prime factorization of a positive integer is the expression of the integer as a product of prime factors.

Answer 16

thanks

Answer 17

np