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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20 and 100.GCF is 20, and LCM is 100.
12 and 66
126 and 90 (trial and error gets you the answer)
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
2 and 24 6 and 8