3 and 17
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There is no LCM for less than two numbers. LCM is the multiple of the highest power of prime factors in two or more numbers. Example: LCM of 9, 15, and 25 is 225, which is the multiple of the highest power of prime factors in 9, 15, and 25 (32 x 52).
The numbers are 34 and 51, which have a sum of 85 and their LCM is 102, the multiple of the highest power of their prime factors 2, 3, 17.
There are ten prime numbers between 51-100.
51 + 29 = 80
The LCM of 35 and 51 is 1785. The GCM is infinite.