Question

How do you use prime factorization to find the least common multiple of 63 and 49?

Answer 1

just multiply 63*49

Answer 2

but thats not using prime factorization. I have to use prime factorization

Answer 3

3x3x7 and 7x7
Now what do I do?

Answer 4

When you have that you just compare the two and check for common numbers.
In this case 7 appears once in both.
So 7 is the gcd

Answer 5

I need the LCM though

Answer 6

that is the same

Answer 7

7 is not the least common multiple of 63 and 49, it's smaller than both of them

Answer 8

it is

Answer 9

Oh I know, sorry. You are right
That will be 3^2*7^2

Answer 10

441

Answer 11

You should count the distinct prime factors

Answer 12

there is 7^2 and 7 so you just need the bigger

Answer 13

where'd the 2 come from?

Answer 14

49=7^2
63=3^2*7
LCM=49*63/7 because 7 is in both
So LCM=3^2*7^2=441

Answer 15

Ok thanks!