Milwaukee Brewers First-Place Clinch Scenario

Milwaukee's traditional magic number (relative to second-place ChicagoCubs) is 79 + 21 - 87 + 1 = 14.
Milwaukee's first-place clinch number is also 14.
Milwaukee must win 14 more games (101 total) to clinch first place.

If Milwaukee wins 14 more games, their final win total will be at least 101.
The table below shows the best case scenario for each of the other teams if Milwaukee wins 14 of their remaining 21 games and loses the other 7.
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 14 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
ChicagoCubs      79	62	21	               0	100
StLouis          70	71	21	               0	91
Pittsburgh       69	72	21	               0	90
Cincinnati       67	73	22	               0	89

The table above shows that if Milwaukee wins 14 more games (101 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 14, consider the following scenario in which Milwaukee wins 13 more games (100 total) but does not finish in first place:

Team             W	L	PCT	GB
ChicagoCubs      100	62	0.617	0.00
Milwaukee        100	62	0.617	0.00
Pittsburgh       72	90	0.444	28.00
StLouis          70	92	0.432	30.00
Cincinnati       67	95	0.414	33.00

Tie breakers
ChicagoCubs 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        87	54	21	0.617	0.0
ChicagoCubs      79	62	21	0.560	8.0
StLouis          70	71	21	0.496	17.0
Pittsburgh       69	72	21	0.489	18.0
Cincinnati       67	73	22	0.479	19.5

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

Pittsburgh has won the season series with Cincinnati 7 games to 6.
StLouis has won the season series with ChicagoCubs 7 games to 6.
StLouis has won the season series with Cincinnati 8 games to 5.

ChicagoCubs currently has 7 wins against Cincinnati and 3 losses.
  ChicagoCubs wins 3 additional games against Cincinnati and loses 0.
  ChicagoCubs wins the series 10 games to 3

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

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

Milwaukee currently has 6 wins against Cincinnati and 1 losses.
  Milwaukee wins 6 additional games against Cincinnati and loses 0.
  Milwaukee wins the series 12 games to 1

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

Milwaukee currently has 8 wins against StLouis and 2 losses.
  Milwaukee wins 3 additional games against StLouis and loses 0.
  Milwaukee wins the series 11 games to 2

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

ChicagoCubs wins 12 games agains teams outside the division and loses 0.
Cincinnati wins 0 games agains teams outside the division and loses 13.
Milwaukee wins 1 games agains teams outside the division and loses 5.
Pittsburgh wins 0 games agains teams outside the division and loses 12.
StLouis wins 0 games agains teams outside the division and loses 15.

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