Since 2017, the Los Angeles Dodgers have the most runs by a team, with 6,577 runs.

	TEAM	R	G	W%	W	L	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Dodgers	6,577	1,254	.635	796	458	42,551	10,814	2,276	189	1,881	6,307	4,822	565	10,603	680	165	48,491	19,111	4,346	181	372	274	808	.254	.335	.449	.784
2	Astros	6,298	1,252	.600	751	501	42,727	11,210	2,257	149	1,706	6,053	4,178	511	9,157	623	213	47,882	18,883	4,112	93	373	162	1,038	.262	.333	.442	.775
3	Yankees	6,292	1,252	.583	730	522	42,104	10,447	1,921	130	1,935	6,015	4,771	463	10,862	630	192	47,776	18,433	3,986	87	351	176	958	.248	.329	.438	.767
4	Red Sox	6,224	1,255	.531	667	588	43,438	11,310	2,562	176	1,524	5,915	4,088	470	10,667	732	225	48,396	18,796	4,262	85	315	232	935	.260	.328	.433	.761
5	Braves	6,160	1,251	.562	703	548	42,718	10,950	2,225	162	1,756	5,917	4,084	490	10,711	661	207	47,765	18,767	4,143	184	289	246	846	.256	.326	.439	.766
6	Twins	5,939	1,252	.520	651	601	42,578	10,656	2,206	168	1,648	5,677	4,108	556	10,726	458	168	47,651	18,142	4,022	97	312	141	859	.250	.322	.426	.748
7	Cubs	5,920	1,254	.521	653	601	42,225	10,456	2,037	227	1,535	5,645	4,355	634	11,078	753	255	47,738	17,552	3,799	216	308	234	886	.248	.325	.416	.741
8	Diamondbacks	5,896	1,253	.488	612	641	42,416	10,438	2,193	289	1,448	5,609	4,248	497	10,494	774	188	47,763	17,553	3,930	250	352	194	842	.246	.320	.414	.733
9	Phillies	5,789	1,253	.515	645	608	42,432	10,559	2,114	217	1,541	5,545	4,180	467	10,949	768	191	47,554	17,730	3,872	179	296	222	839	.249	.321	.418	.739
10	Brewers	5,744	1,255	.556	698	557	42,120	10,209	1,979	157	1,575	5,479	4,493	515	11,463	973	249	47,564	17,227	3,711	163	273	209	905	.242	.321	.409	.730
11	Rockies	5,738	1,253	.436	546	707	42,600	10,809	2,203	276	1,412	5,508	3,680	396	11,274	577	219	47,246	17,800	3,891	257	313	188	935	.254	.317	.418	.735
12	Blue Jays	5,716	1,253	.499	625	628	42,478	10,623	2,229	118	1,638	5,481	4,014	440	10,145	538	194	47,311	18,002	3,985	101	278	111	964	.250	.319	.424	.743
13	Rays	5,711	1,253	.559	701	552	42,346	10,440	2,100	219	1,473	5,420	4,142	575	11,362	961	321	47,450	17,397	3,792	82	305	142	793	.247	.320	.411	.731
14	Nationals	5,708	1,253	.469	588	665	42,234	10,785	2,175	189	1,367	5,440	4,017	529	9,731	912	282	47,338	17,439	3,731	251	307	235	940	.255	.326	.413	.739
15	Guardians	5,673	1,251	.554	693	558	42,093	10,460	2,153	177	1,410	5,393	3,988	514	9,499	919	244	47,119	17,197	3,740	175	349	229	846	.248	.319	.409	.727
16	Rangers	5,670	1,254	.455	570	684	42,241	10,193	1,963	161	1,550	5,385	3,933	493	11,114	832	259	47,088	17,128	3,674	124	297	117	769	.241	.311	.405	.717
17	Cardinals	5,666	1,251	.529	662	589	42,032	10,460	2,032	148	1,483	5,410	4,139	573	10,293	690	219	47,300	17,237	3,663	218	338	173	848	.249	.322	.410	.732
18	Mets	5,641	1,253	.509	638	615	42,145	10,435	2,036	180	1,558	5,424	4,065	712	10,354	590	192	47,383	17,505	3,774	179	282	193	923	.248	.322	.415	.738
19	Reds	5,582	1,254	.458	574	680	41,951	10,222	1,967	197	1,520	5,341	4,118	655	11,021	852	288	47,220	17,143	3,684	216	280	153	877	.244	.319	.409	.728
20	Mariners	5,523	1,252	.517	647	605	42,026	10,018	1,922	140	1,545	5,292	4,180	655	11,251	792	262	47,254	16,855	3,607	105	288	116	823	.238	.315	.401	.716
21	Orioles	5,516	1,252	.439	550	702	42,621	10,512	2,062	168	1,556	5,286	3,530	488	10,859	620	195	47,056	17,578	3,786	115	302	98	841	.247	.310	.412	.722
22	Athletics	5,463	1,254	.473	593	661	42,024	9,977	2,092	150	1,566	5,211	4,090	552	10,952	612	175	47,085	17,067	3,808	118	301	107	946	.237	.311	.406	.717
23	Angels	5,449	1,252	.455	570	682	42,077	10,108	1,905	167	1,564	5,209	3,922	537	10,709	696	237	46,940	17,039	3,636	114	290	205	912	.240	.311	.405	.716
24	Padres	5,416	1,251	.496	620	631	41,871	10,192	1,968	175	1,446	5,167	4,088	419	10,513	767	251	46,929	16,848	3,589	253	298	179	898	.243	.315	.402	.717
25	Giants	5,354	1,253	.497	623	630	42,364	10,219	2,086	193	1,341	5,130	3,998	472	10,973	508	185	47,334	16,714	3,620	170	330	208	907	.241	.311	.395	.706