LADodgers Dodgers First-Place Clinch Scenario

LADodgers's traditional magic number (relative to second-place SanDiego) is 72 + 28 - 80 + 1 = 21.
LADodgers's first-place clinch number is 20.
LADodgers must win 20 more games (100 total) to clinch first place.

If LADodgers wins 20 more games, their final win total will be at least 100.
The table below shows the best case scenario for each of the other teams if LADodgers wins 20 of their remaining 29 games and loses the other 9.
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 LADodgers' column gives the
minimum number of games that each team will lose to LADodgers if LADodgers wins 20 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 LADodgers	Maximum W
SanDiego         72	62	28	               0	100 *See tie-breaking notes below.
Arizona          71	63	28	               0	99
SanFrancisco     54	79	29	               0	83
Colorado         52	81	29	               0	81

Tie-breakers:
LADodgers has won 7 game(s) against SanDiego and lost 3.
There are 3 games left in the series.
In the scenario above, LADodgers wins 7 + -6 = 1 games against SanDiego and loses 3 + 9 = 12.

The table above shows that if LADodgers wins 20 more games (100 total), then they will finish the season in first place in the division.

To see that LADodgers's first-place clinch number cannot be less than 20, consider the following scenario in which LADodgers wins 19 more games (99 total) but does not finish in first place:

Team             W	L	PCT	GB
SanDiego         100	62	0.617	0.00
LADodgers        99	63	0.611	1.00
Arizona          71	91	0.438	29.00
SanFrancisco     64	98	0.395	36.00
Colorado         62	100	0.383	38.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
LADodgers        80	53	29	0.602	0.0
SanDiego         72	62	28	0.537	8.5
Arizona          71	63	28	0.530	9.5
SanFrancisco     54	79	29	0.406	26.0
Colorado         52	81	29	0.391	28.0

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

Arizona has won the season series with LADodgers 7 games to 6.
Colorado has won the season series with SanFrancisco 7 games to 6.
LADodgers has won the season series with Colorado 10 games to 3.

Arizona currently has 8 wins against SanFrancisco and 1 losses.
  Arizona wins 0 additional games against SanFrancisco and loses 4.
  Arizona wins the series 8 games to 5

Colorado currently has 4 wins against Arizona and 6 losses.
  Colorado wins 3 additional games against Arizona and loses 0.
  Colorado wins the series 7 games to 6

LADodgers currently has 7 wins against SanDiego and 3 losses.
  LADodgers wins 0 additional games against SanDiego and loses 3.
  LADodgers wins the series 7 games to 6

LADodgers currently has 3 wins against SanFrancisco and 4 losses.
  LADodgers wins 6 additional games against SanFrancisco and loses 0.
  LADodgers wins the series 9 games to 4

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

SanDiego currently has 8 wins against Colorado and 1 losses.
  SanDiego wins 4 additional games against Colorado and loses 0.
  SanDiego wins the series 12 games to 1

SanDiego currently has 6 wins against SanFrancisco and 4 losses.
  SanDiego wins 3 additional games against SanFrancisco and loses 0.
  SanDiego wins the series 9 games to 4

Arizona wins 0 games agains teams outside the division and loses 18.
Colorado wins 7 games agains teams outside the division and loses 15.
LADodgers wins 13 games agains teams outside the division and loses 7.
SanDiego wins 15 games agains teams outside the division and loses 0.
SanFrancisco wins 6 games agains teams outside the division and loses 10.

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