how many times has the team that won the presidents trophy won the stanley cup

The Toronto Maple Leafs have won 13 times in the Stanley Cup Finals all-time.

	TEAM	SERIES W	SEAS	W	SERIES	GP	L	T	OTL	PTS	PTS%	SOW	SOL	G	GA	DIFF	PP%	PK%	S/GP	S%	SA/GP	SV%
1	Maple Leafs	13	21	56	Stanley Cup Finals	105	49	0	0	112	.533	0	0	278	269	9			33.03	8.3	34.88	.921
2	Millionaires	0	3	6	Stanley Cup Finals	15	9	0	0	12	.400	0	0	42	46	-4
3	Canadiens	23	33	104	Stanley Cup Finals	166	61	1	0	209	.630	0	0	484	395	89	15.0	83.5	31.42	10.0	27.72	.918
4	Metropolitans	0	2	4	Stanley Cup Finals	10	5	1	0	9	.450	0	0	30	25	5
5	Senators	4	4	10	Stanley Cup Finals	16	4	2	0	22	.688	0	0	37	27	10
6	Eskimos	0	1	0	Stanley Cup Finals	2	2	0	0	0	.000	0	0	1	3	-2
7	Tigers	0	1	0	Stanley Cup Finals	2	2	0	0	0	.000	0	0	1	9	-8
8	Cougars	1	2	4	Stanley Cup Finals	8	4	0	0	8	.500	0	0	19	18	1
9	Maroons	2	3	8	Stanley Cup Finals	12	4	0	0	16	.667	0	0	26	12	14
10	Bruins	6	20	37	Stanley Cup Finals	98	58	3	0	77	.393	0	0	231	265	-34	17.2	85.2	29.16	8.7	29.79	.906
11	Rangers	4	11	23	Stanley Cup Finals	55	32	0	0	46	.418	0	0	124	146	-22	15.2	87.1	29.35	8.6	32.35	.905
12	Blackhawks	6	13	34	Stanley Cup Finals	71	37	0	0	68	.479	0	0	187	205	-18	11.6	78.6	30.02	9.4	30.76	.902
13	Red Wings	11	24	61	Stanley Cup Finals	127	66	0	0	122	.480	0	0	316	314	2	16.8	82.8	31.24	7.9	28.56	.909
14	Blues	1	4	4	Stanley Cup Finals	19	15	0	0	8	.211	0	0	35	65	-30	5.6	70.8	25.89	7.1	33.58	.898
15	Flyers	2	8	16	Stanley Cup Finals	44	28	0	0	32	.364	0	0	128	149	-21	26.3	67.0	28.14	10.3	30.91	.890
16	Sabres	0	2	4	Stanley Cup Finals	12	8	0	0	8	.333	0	0	21	32	-11	11.5	88.5	27.33	6.4	30.00	.911
17	Islanders	4	5	17	Stanley Cup Finals	24	7	0	0	34	.708	0	0	99	78	21	37.0	80.0	30.04	13.7	30.46	.893
18	Stars	1	5	11	Stanley Cup Finals	29	18	0	0	22	.379	0	0	69	96	-27	11.8	79.1	29.28	8.1	31.21	.894
19	Canucks	0	3	6	Stanley Cup Finals	18	12	0	0	12	.333	0	0	37	62	-25	13.2	65.5	31.72	6.5	33.61	.898
20	Oilers	5	8	26	Stanley Cup Finals	45	18	1	0	53	.589	0	0	150	118	32	19.3	83.2	29.27	11.4	25.69	.898
21	Flames	1	3	8	Stanley Cup Finals	18	10	0	0	16	.444	0	0	46	44	2	22.7	84.4	26.83	9.5	26.28	.907
22	Penguins	5	6	22	Stanley Cup Finals	35	13	0	0	44	.629	0	0	101	85	16	19.2	87.1	27.83	10.4	30.03	.919
23	Kings	2	3	9	Stanley Cup Finals	16	7	0	0	18	.563	0	0	43	33	10	18.8	88.9	31.31	8.6	28.50	.928
24	Devils	3	5	17	Stanley Cup Finals	30	13	0	0	34	.567	0	0	69	63	6	12.2	81.7	27.67	8.3	22.70	.907
25	Avalanche	3	3	12	Stanley Cup Finals	17	5	0	0	24	.706	0	0	54	30	24	23.5	88.9	29.12	10.9	28.94	.939