To make this easier, let's first factor 18 and 21 into their prime factors:
18=2*3^2
21=3*7
Now it's very easy to find the LCM and GCF. The LCM is 2*3^2*7=126, and the GCF is 3.
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The LCM of these numbers is 18. LCM is Least Common Multiple. The GCF of these numbers is 6. GCF is Greatest Common Factor.
6 and 72, respectively.
The GCF is 3. The LCM is 63.
LCM(21, 42, 18) = 126
The LCM is 120 and the GCF is 2.