Los Angeles Dodgers First-Place Clinch Scenario

Los Angeles's traditional magic number (relative to second-place San Diego) is 82 + 12 - 84 + 1 = 11.
Los Angeles's first-place clinch number is 10.
Los Angeles must win 10 more games (94 total) to clinch first place.

If Los Angeles wins 10 more games, their final win total will be at least 94.
The table below shows the best case scenario for each of the other teams if Los Angeles wins 10 of their remaining 12 games and loses the other 2.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to Los Angeles' column gives the
minimum number of games that each team will lose to Los Angeles if Los Angeles wins 10 more games. Assuming that a team wins all of its remaining games except for
the games it loses to LADodgers, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Los Angeles	Maximum W
San Diego        82	68	12	               0	94 *See tie-breaking notes below.
Arizona          76	75	11	       3 - 2 = 1	86
San Francisco    75	75	12	       4 - 2 = 2	85
Colorado         41	109	12	               0	53

Tie-breakers:
Los Angeles has won 9 game(s) against San Diego and lost 4.
There are no games left in the series.

The table above shows that if Los Angeles wins 10 more games (94 total), then they will finish the season in first place in the division.

To see that Los Angeles's first-place clinch number cannot be less than 10, consider the following scenario in which Los Angeles wins 9 more games (93 total) but does not finish in first place:

Team             W	L	PCT	GB
San Diego        94	68	0.580	0.00
Los Angeles      93	69	0.574	1.00
Arizona          81	81	0.500	13.00
San Francisco    75	87	0.463	19.00
Colorado         47	115	0.290	47.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Los Angeles      84	66	12	0.560	0.0
San Diego        82	68	12	0.547	2.0
Arizona          76	75	11	0.503	8.5
San Francisco    75	75	12	0.500	9.0
Colorado         41	109	12	0.273	43.0

Next, we show how the remaining series of games in the division play out in the scenario:

Arizona has won the season series with Colorado 8 games to 5.
Los Angeles has won the season series with Colorado 11 games to 2.
Los Angeles has won the season series with San Diego 9 games to 4.
San Diego has won the season series with Colorado 10 games to 3.
San Diego has won the season series with San Francisco 10 games to 3.

Arizona currently has 6 wins against San Francisco and 5 losses.
  Arizona wins 2 additional games against San Francisco and loses 0.
  Arizona wins the series 8 games to 5

Los Angeles currently has 5 wins against Arizona and 5 losses.
  Los Angeles wins 3 additional games against Arizona and loses 0.
  Los Angeles wins the series 8 games to 5

Los Angeles currently has 6 wins against San Francisco and 3 losses.
  Los Angeles wins 4 additional games against San Francisco and loses 0.
  Los Angeles wins the series 10 games to 3

San Diego currently has 5 wins against Arizona and 5 losses.
  San Diego wins 3 additional games against Arizona and loses 0.
  San Diego wins the series 8 games to 5

San Francisco currently has 8 wins against Colorado and 2 losses.
  San Francisco wins 0 additional games against Colorado and loses 3.
  San Francisco wins the series 8 games to 5

Arizona wins 3 games agains teams outside the division and loses 0.
Colorado wins 3 games agains teams outside the division and loses 6.
Los Angeles wins 2 games agains teams outside the division and loses 3.
San Diego wins 9 games agains teams outside the division and loses 0.
San Francisco wins 0 games agains teams outside the division and loses 3.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# Los Angeles Dodgers' magic number
# Los Angeles's magic number
# Dodgers' magic number
# MLB Playoff Race