What is 6 multiplied by the first common multiple of 3 and 4?

Sure, here are the steps to solve the problem:

1. First, find the least common multiple (LCM) of 3 and 4. The multiples of 3 are 3, 6, 9, 12, 15, 18, etc., and the multiples of 4 are 4, 8, 12, 16, 20, etc. The first (or least) common multiple of 3 and 4 is 12.

2. Then, multiply this common multiple (12) by 6.

3. The result is 72.

So, 6 multiplied by the first common multiple of 3 and 4 is 72.