Question

Two numbers have prime factorizations of 2 2 · 3 · 5 and 2 · 3 2 · 7. Which expression can be used to find their least common multiple? 23 · 33 · 5 · 7 2 · 3 2 2 · 3 2 6 · 2 · 3 · 5 · 7

Answer 1

2^2*3^2*5*7

Explanation:

Answer 2

ANSWER


`LCM= {2}^(2) * {3}^(2) * 5 * 7`


EXPLANATION

The prime factorization of the two numbers are

`{2}^(2) * 3 * 5`
and


`2 * {3}^(2) * 7`
To find the least common multiple , we collect the factors with the powers and multiply them out.



The highest power of 2 is

`{2}^(2)`

The highest power of 3 is

`{3}^(2)`

The highest power of 5 is

`5`


and the highest power of 7 is

`7`

Therefore


`LCM= {2}^(2) * {3}^(2) * 5 * 7`