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The LCM of 2 numbers (x and y) is xy divided by the GCF.
xy = 84*3 = 252.
There are a bunch of factors of 252, so...
252 factors to [2 2 3 3 7]
Give each factor a 3 since GCF=3 is given. You cannot give a two to each or the GCF would be 6. Either one can get the 7.
2*2*3 and 3*7 are the pair (12, 21)
2*2*3*7 and 3 are (84, 3) and also works.■
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