Milwaukee Brewers First-Place Clinch Scenario

Milwaukee's traditional magic number (relative to second-place Chicago) is 19 + 131 - 19 + 1 = 132.
Milwaukee's first-place clinch number is 126.
Milwaukee must win 126 more games (145 total) to clinch first place.

If Milwaukee wins 126 more games, their final win total will be at least 145.
The table below shows the best case scenario for each of the other teams if Milwaukee wins 126 of their remaining 132 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 Milwaukee' column gives the
minimum number of games that each team will lose to Milwaukee if Milwaukee wins 126 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Milwaukee, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Milwaukee	Maximum W
Chicago          19	12	131	      13 - 6 = 7	143
Cincinnati       16	15	131	      10 - 6 = 4	143
Pittsburgh       14	18	130	       9 - 6 = 3	141
St. Louis        14	17	131	      10 - 6 = 4	141

The table above shows that if Milwaukee wins 126 more games (145 total), then they will finish the season in first place in the division.

To see that Milwaukee's first-place clinch number cannot be less than 126, consider the following scenario in which Milwaukee wins 125 more games (144 total) but does not finish in first place:

Team             W	L	PCT	GB
Chicago          144	18	0.889	0.00
Milwaukee        144	18	0.889	0.00
Pittsburgh       122	40	0.753	22.00
Cincinnati       78	84	0.481	66.00
St. Louis        68	94	0.420	76.00

Tie breakers
Chicago wins the season series with Milwaukee 7 games to 6.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Milwaukee        19	11	132	0.633	0.0
Chicago          19	12	131	0.613	0.5
Cincinnati       16	15	131	0.516	3.5
St. Louis        14	17	131	0.452	5.5
Pittsburgh       14	18	130	0.438	6.0

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


Chicago currently has 0 wins against Cincinnati and 0 losses.
  Chicago wins 13 additional games against Cincinnati and loses 0.
  Chicago wins the series 13 games to 0

Chicago currently has 0 wins against Milwaukee and 0 losses.
  Chicago wins 7 additional games against Milwaukee and loses 6.
  Chicago wins the series 7 games to 6

Chicago currently has 0 wins against Pittsburgh and 0 losses.
  Chicago wins 13 additional games against Pittsburgh and loses 0.
  Chicago wins the series 13 games to 0

Chicago currently has 0 wins against St. Louis and 0 losses.
  Chicago wins 13 additional games against St. Louis and loses 0.
  Chicago wins the series 13 games to 0

Milwaukee currently has 2 wins against Cincinnati and 1 losses.
  Milwaukee wins 10 additional games against Cincinnati and loses 0.
  Milwaukee wins the series 12 games to 1

Milwaukee currently has 2 wins against Pittsburgh and 2 losses.
  Milwaukee wins 9 additional games against Pittsburgh and loses 0.
  Milwaukee wins the series 11 games to 2

Milwaukee currently has 3 wins against St. Louis and 0 losses.
  Milwaukee wins 10 additional games against St. Louis and loses 0.
  Milwaukee wins the series 13 games to 0

Pittsburgh currently has 0 wins against Cincinnati and 0 losses.
  Pittsburgh wins 13 additional games against Cincinnati and loses 0.
  Pittsburgh wins the series 13 games to 0

Pittsburgh currently has 0 wins against St. Louis and 0 losses.
  Pittsburgh wins 13 additional games against St. Louis and loses 0.
  Pittsburgh wins the series 13 games to 0

St. Louis currently has 0 wins against Cincinnati and 0 losses.
  St. Louis wins 13 additional games against Cincinnati and loses 0.
  St. Louis wins the series 13 games to 0

Chicago wins 79 games agains teams outside the division and loses 0.
Cincinnati wins 62 games agains teams outside the division and loses 20.
Milwaukee wins 90 games agains teams outside the division and loses 0.
Pittsburgh wins 82 games agains teams outside the division and loses 0.
St. Louis wins 41 games agains teams outside the division and loses 41.

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