Since 2016, the Los Angeles Dodgers have the most runs by a team, with 7,318 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	7,318	1,421	.626	889	532	48,243	12,231	2,557	210	2,074	7,002	5,360	624	11,972	727	191	54,843	21,430	4,841	211	405	307	932	.254	.333	.444	.778
2	Red Sox	7,128	1,421	.536	761	660	49,248	12,947	2,916	202	1,737	6,777	4,665	517	11,865	817	249	54,881	21,478	4,855	93	358	267	1,077	.263	.331	.436	.767
3	Astros	7,037	1,418	.591	838	580	48,407	12,609	2,553	178	1,909	6,757	4,742	559	10,640	730	257	54,233	21,245	4,640	120	405	193	1,176	.260	.331	.439	.770
4	Yankees	6,988	1,418	.576	817	601	47,692	11,859	2,170	150	2,124	6,678	5,259	507	12,081	706	216	53,966	20,701	4,444	108	400	197	1,083	.249	.327	.434	.761
5	Braves	6,827	1,416	.544	771	645	48,368	12,381	2,525	189	1,883	6,549	4,603	552	11,988	737	242	54,113	20,933	4,597	248	342	308	993	.256	.326	.433	.758
6	Cubs	6,744	1,420	.534	758	661	47,871	11,903	2,337	258	1,737	6,428	5,022	731	12,447	825	290	54,230	19,967	4,332	258	348	279	993	.249	.327	.417	.744
7	Twins	6,694	1,419	.502	713	706	48,374	12,111	2,503	203	1,855	6,398	4,644	603	12,198	551	200	54,101	20,585	4,561	124	356	165	958	.250	.322	.426	.747
8	Diamondbacks	6,669	1,418	.482	684	734	48,184	11,945	2,483	345	1,645	6,339	4,728	548	11,947	912	222	54,143	20,053	4,473	293	390	237	962	.248	.320	.416	.736
9	Rockies	6,597	1,419	.440	624	795	48,349	12,387	2,531	326	1,620	6,327	4,180	437	12,634	645	260	53,626	20,430	4,477	311	349	223	1,050	.256	.319	.423	.741
10	Blue Jays	6,495	1,419	.505	717	702	48,090	12,012	2,512	137	1,864	6,229	4,655	496	11,526	594	219	53,686	20,390	4,513	127	318	127	1,119	.250	.320	.424	.744
11	Nationals	6,479	1,419	.483	685	734	47,845	12,212	2,449	218	1,572	6,183	4,556	594	10,996	1,035	323	53,665	19,813	4,239	299	371	284	1,043	.255	.325	.414	.739
12	Cardinals	6,468	1,417	.529	750	667	47,716	11,909	2,336	180	1,714	6,177	4,680	646	11,641	727	245	53,678	19,747	4,230	256	380	202	968	.250	.323	.414	.736
13	Guardians	6,458	1,416	.556	788	628	47,710	11,926	2,466	206	1,598	6,134	4,525	563	10,785	1,059	275	53,413	19,598	4,270	206	409	245	986	.250	.320	.411	.731
14	Rangers	6,443	1,420	.468	665	755	47,896	11,661	2,222	184	1,769	6,139	4,376	564	12,378	932	297	53,315	19,558	4,175	142	337	141	884	.243	.312	.408	.721
15	Brewers	6,429	1,421	.544	773	648	47,582	11,535	2,231	176	1,774	6,134	5,106	553	13,037	1,157	305	53,771	19,440	4,181	217	313	243	1,037	.242	.321	.409	.730
16	Phillies	6,413	1,419	.505	717	702	48,001	11,892	2,350	252	1,706	6,132	4,615	526	12,361	866	236	53,693	19,864	4,308	225	326	255	952	.248	.319	.414	.732
17	Rays	6,401	1,419	.545	773	646	47,957	11,807	2,394	251	1,693	6,082	4,601	645	12,886	1,027	358	53,636	19,782	4,338	100	333	162	883	.246	.319	.412	.731
18	Mets	6,336	1,420	.513	728	692	47,783	11,818	2,285	199	1,783	6,097	4,604	779	11,694	636	210	53,704	19,850	4,267	214	324	238	1,049	.247	.322	.415	.737
19	Reds	6,305	1,419	.453	643	776	47,532	11,645	2,250	230	1,686	6,026	4,582	707	12,333	993	340	53,420	19,413	4,166	274	325	191	1,008	.245	.319	.408	.727
20	Mariners	6,301	1,418	.517	733	685	47,739	11,493	2,177	158	1,770	6,037	4,693	728	12,575	853	290	53,620	19,296	4,105	129	331	146	965	.241	.316	.404	.720
21	Orioles	6,276	1,418	.453	642	776	48,277	11,956	2,332	175	1,815	6,011	4,013	532	12,215	639	208	53,294	20,083	4,322	132	340	117	966	.248	.310	.416	.726
22	Angels	6,191	1,418	.456	647	771	47,647	11,552	2,190	188	1,726	5,919	4,404	590	11,726	772	273	53,132	19,296	4,104	151	340	226	1,063	.242	.312	.405	.717
23	Athletics	6,143	1,421	.467	664	757	47,695	11,376	2,375	172	1,740	5,872	4,553	587	12,147	666	198	53,302	19,315	4,287	131	336	126	1,091	.239	.311	.405	.716
24	Padres	6,115	1,418	.487	691	727	47,467	11,510	2,230	202	1,625	5,834	4,549	479	12,060	896	298	53,120	19,019	4,057	290	335	209	993	.242	.313	.401	.714
25	Giants	6,085	1,420	.502	713	707	48,088	11,689	2,375	247	1,473	5,819	4,588	516	12,118	592	222	53,786	18,977	4,095	214	380	252	1,030	.243	.313	.395	.708