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



EXPLANATION

The prime factorization of the two numbers are

and


To find the least common multiple , we collect the factors with the powers and multiply them out.

The highest power of 2 is


The highest power of 3 is


The highest power of 5 is


and the highest power of 7 is


Therefore