In a number series, the difference between 29 and *B* is *X*, where *X* has exactly 4 factors: 1, 5, 13, and *X* itself. Given that *A* = 1 and *B* = 94, what is the LCM of *B + 20* and *A*?

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**Solution:**

1. We are given that the difference between 29 and *B* is *X*.

2. The number *X* has exactly 4 factors: 1, 5, 13, and *X* itself. This implies *X* is the product of 5 and 13, i.e.,
   $$X = 5 	imes 13 = 65$$

3. Since *X = B - 29*, we find *B*:
   $$B = 29 + 65 = 94$$

4. Given *A = 1*, we need to find the LCM of *B + 20* and *A*:
   $$B + 20 = 94 + 20 = 114$$

5. The LCM of 114 and 1 is simply 114, because the LCM of any number and 1 is the number itself.

**Answer:** $114$

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