Los Angeles Dodgers First-Place Clinch Scenario

Los Angeles's traditional magic number (relative to second-place San Diego) is 23 + 123 - 24 + 1 = 123.
Los Angeles's first-place clinch number is 117.
Los Angeles must win 117 more games (141 total) to clinch first place.

If Los Angeles wins 117 more games, their final win total will be at least 141.
The table below shows the best case scenario for each of the other teams if Los Angeles wins 117 of their remaining 123 games and loses the other 6.
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 117 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        23	16	123	      13 - 6 = 7	139
Arizona          18	20	124	      10 - 6 = 4	138
Colorado         16	24	122	       9 - 6 = 3	135
San Francisco    15	24	123	      10 - 6 = 4	134

The table above shows that if Los Angeles wins 117 more games (141 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 117, consider the following scenario in which Los Angeles wins 116 more games (140 total) but does not finish in first place:

Team             W	L	PCT	GB
San Diego        140	22	0.864	0.00
Los Angeles      140	22	0.864	0.00
Arizona          101	61	0.623	39.00
San Francisco    82	80	0.506	58.00
Colorado         76	86	0.469	64.00

Tie breakers
San Diego wins the season series with Los Angeles 7 games to 6.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Los Angeles      24	15	123	0.615	0.0
San Diego        23	16	123	0.590	1.0
Arizona          18	20	124	0.474	5.5
Colorado         16	24	122	0.400	8.5
San Francisco    15	24	123	0.385	9.0

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


Arizona currently has 0 wins against Colorado and 0 losses.
  Arizona wins 13 additional games against Colorado and loses 0.
  Arizona wins the series 13 games to 0

Arizona currently has 0 wins against San Francisco and 0 losses.
  Arizona wins 13 additional games against San Francisco and loses 0.
  Arizona wins the series 13 games to 0

Los Angeles currently has 3 wins against Arizona and 0 losses.
  Los Angeles wins 10 additional games against Arizona and loses 0.
  Los Angeles wins the series 13 games to 0

Los Angeles currently has 2 wins against Colorado and 2 losses.
  Los Angeles wins 9 additional games against Colorado and loses 0.
  Los Angeles wins the series 11 games to 2

Los Angeles currently has 1 wins against San Francisco and 2 losses.
  Los Angeles wins 10 additional games against San Francisco and loses 0.
  Los Angeles wins the series 11 games to 2

San Diego currently has 1 wins against Arizona and 1 losses.
  San Diego wins 11 additional games against Arizona and loses 0.
  San Diego wins the series 12 games to 1

San Diego currently has 6 wins against Colorado and 1 losses.
  San Diego wins 6 additional games against Colorado and loses 0.
  San Diego wins the series 12 games to 1

San Diego currently has 0 wins against Los Angeles and 0 losses.
  San Diego wins 7 additional games against Los Angeles and loses 6.
  San Diego wins the series 7 games to 6

San Diego currently has 3 wins against San Francisco and 3 losses.
  San Diego wins 7 additional games against San Francisco and loses 0.
  San Diego wins the series 10 games to 3

San Francisco currently has 0 wins against Colorado and 0 losses.
  San Francisco wins 13 additional games against Colorado and loses 0.
  San Francisco wins the series 13 games to 0

Arizona wins 57 games agains teams outside the division and loses 20.
Colorado wins 60 games agains teams outside the division and loses 21.
Los Angeles wins 81 games agains teams outside the division and loses 0.
San Diego wins 86 games agains teams outside the division and loses 0.
San Francisco wins 54 games agains teams outside the division and loses 26.

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