please help! (:

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?

A) 23 • 33 • 5 • 7
B) 2 • 3
C) 2^2 • 3^2
D) 6 • 2 • 3 • 5 • 7

thanks to anyone who actually takes the time to answer, lol

Question

please help! (:

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?

A) 23 • 33 • 5 • 7
B) 2 • 3
C) 2^2 • 3^2
D) 6 • 2 • 3 • 5 • 7

thanks to anyone who actually takes the time to answer, lol

yttrium · Answer

Check each prime factorization for each and then just multiply them. If there are common, say there are 2•2•2 while the other has 2•2, just do the 2•2
Does this make sense?

yttrium · Answer

@meredith331

anonymous · Answer

I think I understand what you're saying but I'm not completely sure

yttrium · Answer

answer this problem so we can make sure that you really understood it :)

anonymous · Answer

so by saying to multiply them together, does that mean that the first number would turn out to be 60 and the second number would be 126?

yttrium · Answer

No. Just multiply the prime factor that is identical with 1st and the 2nd. And in case there are common, just copy it and raise to it's least amount found.
Say,
2^2•3•5 and 2•3^2•7
it's least common multiple will then be
2•3•5•7
coz, we only have one 2 in the 2nd.
        we only have one 3 in the 1st
        we only have one 5 in the 1st
        we only have one 7 in the 2nd

anonymous · Answer

yay that makes sense! thank you so much :)