Question 243157
Both LCM and GCF require that you find the prime factorization for the given numbers. I'll assume you know how to do prime factorization. So here is a URL that does that legwork for you.

We need to find the LCM for 10 and 18
Factorize 10 --> 2,5
Factorize 18 --> 2, 3, 3

To find the LCM, you need to find the prime factors from each 10 and 18 that occur MOST. There is one 2 in both, one 5 in one and two 3's in the other. So the LCM is {{{2*3*3*5 = 90}}} 

Now factorize 132 --> 2 2 3 11

To find the GCF, you need to find only those prime factros that occur in BOTH 90 and 132 -- but now, instead of finding the ones that occur the most, take the ones that occur the fewest times.
Both 90 and 132 have 2 as a factor. But only one 2 in 90
Both have three as a factor too. Again only one three in 132.
That's it {{{2*3 = 6}}}