Los Angeles Dodgers First-Place Clinch Scenario

Los Angeles's traditional magic number (relative to second-place San Diego) is 15 + 129 - 19 + 1 = 126.
Los Angeles's first-place clinch number is 124.
Los Angeles must win 124 more games (143 total) to clinch first place.

If Los Angeles wins 124 more games, their final win total will be at least 143.
The table below shows the best case scenario for each of the other teams if Los Angeles wins 124 of their remaining 130 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 124 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        15	18	129	       8 - 6 = 2	142
San Francisco    14	16	132	      10 - 6 = 4	142
Arizona          14	17	131	      11 - 6 = 5	140
Colorado         7	22	133	      13 - 6 = 7	133

The table above shows that if Los Angeles wins 124 more games (143 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 124, consider the following scenario in which Los Angeles wins 123 more games (142 total) but does not finish in first place:

Team             W	L	PCT	GB
San Diego        142	20	0.877	0.00
Los Angeles      142	20	0.877	0.00
San Francisco    90	72	0.556	52.00
Arizona          76	86	0.469	66.00
Colorado         68	94	0.420	74.00

Tie breakers
San Diego wins the season series with Los Angeles 10 games to 3.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Los Angeles      19	13	130	0.594	0.0
San Francisco    14	16	132	0.467	4.0
San Diego        15	18	129	0.455	4.5
Arizona          14	17	131	0.452	4.5
Colorado         7	22	133	0.241	10.5

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


Arizona currently has 5 wins against Colorado and 2 losses.
  Arizona wins 6 additional games against Colorado and loses 0.
  Arizona wins the series 11 games to 2

Arizona currently has 2 wins against San Francisco and 2 losses.
  Arizona wins 9 additional games against San Francisco and loses 0.
  Arizona wins the series 11 games to 2

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

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

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

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

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

San Diego currently has 3 wins against Los Angeles and 2 losses.
  San Diego wins 7 additional games against Los Angeles and loses 1.
  San Diego wins the series 10 games to 3

San Diego currently has 3 wins against San Francisco and 4 losses.
  San Diego wins 6 additional games against San Francisco and loses 0.
  San Diego wins the series 9 games to 4

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 47 games agains teams outside the division and loses 45.
Colorado wins 61 games agains teams outside the division and loses 31.
Los Angeles wins 88 games agains teams outside the division and loses 0.
San Diego wins 92 games agains teams outside the division and loses 1.
San Francisco wins 63 games agains teams outside the division and loses 31.

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