| Document and Entity Information | May 10, 2021 |
| Cover [Abstract] | |
| Amendment Flag | false |
| Entity Central Index Key | 0001664106 |
| Document Type | 8-K |
| Document Period End Date | May 10, 2021 |
| Entity Registrant Name | LOGICBIO THERAPEUTICS, INC. |
| Entity Incorporation State Country Code | DE |
| Entity File Number | 001-38707 |
| Entity Tax Identification Number | 47-1514975 |
| Entity Address, Address Line One | 65 Hayden Avenue |
| Entity Address, Address Line Two | 2nd Floor |
| Entity Address, City or Town | Lexington |
| Entity Address, State or Province | MA |
| Entity Address, Postal Zip Code | 02421 |
| City Area Code | (617) |
| Local Phone Number | 245-0399 |
| Written Communications | false |
| Soliciting Material | false |
| Pre Commencement Tender Offer | false |
| Pre Commencement Issuer Tender Offer | false |
| Security 12b Title | Common Stock, par value $0.0001 per share |
| Trading Symbol | LOGC |
| Security Exchange Name | NASDAQ |
| Entity Emerging Growth Company | true |
| Entity Ex Transition Period | true |
