4704
= 2 x 2352
= 2 x 2 x 1176
= 2 x 2 x 2 x 588
= 2 x 2 x 2 x 2 x 294
= 2 x 2 x 2 x 2 x 2 x 147
= 2 x 2 x 2 x 2 x 2 x 3 x 49
= 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7
672
= 2 x 336
= 2 x 2 x 168
= 2 x 2 x 2 x 84
= 2 x 2 x 2 x 2 x 42
= 2 x 2 x 2 x 2 x 2 x 21
= 2 x 2 x 2 x 2 x 2 x 3 x 7
The prime factors they have in common are 2 x 2 x 2 x 2 x 2 x 3 x 7, so the greatest common factor is 672.
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The LCF is 1. The GCF is 2. The LCM is 672.
The total number of integers that are multiples of both 8 and 21 is infinite. The first few are these: 168, 336, 504, 672, 840 . . .
The LCM is: 672
The LCM is 672
The LCM is 336. The next common multiple is 672.