I didn't find anything for this season, but Pete Alonso and Cal Raleigh were tied for the fewest homers with 34+ home runs in 2024, with 34 home runs.

fastest player to 34 or more home runs this regular season

	NAME	HR	SEASON	TM	G	AB	R	H	2B	3B	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SF	IBB	GIDP	AVG	OBP	SLG	OPS	WRC	WRAA	WOBA	WRC+	BRAA
1	Pete Alonso P. Alonso	34	2024	NYM	162	608	91	146	31	0	88	70	13	172	3	0	695	279	65	4	4	14	.240	.329	.459	.788	98	16.6	.340	122	18
2	Cal Raleigh C. Raleigh	34	2024	SEA	153	546	73	120	16	0	100	70	6	176	6	1	628	238	50	6	4	7	.220	.312	.436	.748	80	6.3	.323	117	12.3
3	Yordan Alvarez Y. Alvarez	35	2024	HOU	147	552	88	170	34	2	86	69	10	95	6	0	635	313	71	4	16	14	.308	.392	.567	.959	121	46.7	.402	167	49.1
4	Ketel Marte K. Marte	36	2024	ARI	136	504	93	147	23	2	95	65	5	106	7	1	583	282	61	9	7	9	.292	.372	.560	.932	106	37.9	.391	151	35.7
5	Gunnar Henderson G. Henderson	37	2024	BAL	159	630	118	177	31	7	92	78	7	159	21	4	719	333	75	4	1	2	.281	.364	.529	.893	125	41.2	.381	154	44.8
6	Kyle Schwarber K. Schwarber	38	2024	PHI	150	573	110	142	22	0	104	106	5	197	5	3	692	278	60	8	4	6	.248	.366	.485	.851	112	31	.366	135	29.2
7	Marcell Ozuna M. Ozuna	39	2024	ATL	162	606	96	183	31	0	104	74	3	170	1	0	687	331	70	4	2	23	.302	.378	.546	.925	127	46.6	.395	154	44
8	José Ramírez J. Ramírez	39	2024	CLE	158	620	114	173	39	2	118	54	1	82	41	7	681	333	80	6	12	9	.279	.335	.537	.872	109	29.6	.364	141	32.2
9	Brent Rooker B. Rooker	39	2024	OAK	145	546	82	160	26	2	112	59	5	177	11	3	614	307	67	4	4	5	.293	.365	.562	.927	112	40.5	.392	164	45
10	Juan Soto J. Soto	41	2024	NYY	157	576	128	166	31	4	109	129	4	119	7	4	713	328	76	4	2	10	.288	.419	.569	.989	147	63.4	.421	180	65.2
11	Anthony Santander A. Santander	44	2024	BAL	155	595	91	140	25	2	102	58	7	129	2	0	665	301	71	5	3	9	.235	.308	.506	.814	97	18.7	.345	129	22
12	Shohei Ohtani S. Ohtani	54	2024	LAD	159	636	134	197	38	7	130	81	6	162	59	4	728	411	99	5	10	7	.310	.390	.646	1.036	156	70.5	.431	181	70.3
13	Aaron Judge A. Judge	58	2024	NYY	158	559	122	180	36	1	144	133	9	171	10	0	703	392	95	2	20	22	.322	.458	.701	1.159	176	93.7	.476	219	95.5