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Related Party Transactions (Details) - Stockholder - Shared office space and office related expenses $ in Thousands	3 Months Ended	9 Months Ended
	Sep. 30, 2016 USD ($)	Sep. 30, 2016 USD ($) shareholder
Related Party Transactions
Number of stockholders | shareholder		1
Cost incurred to related party | $	$ 86	$ 213

X

- Definition

The number of stockholders reimbursed by the entity for shared office space and office related expenses.

+ References

No definition available.

+ Details

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Namespace Prefix:	lptx_
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Balance Type:	na
Period Type:	duration

X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_RelatedPartyTransactionLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of selling, general and administrative expenses resulting from transactions, excluding transactions that are eliminated in consolidated or combined financial statements, with related party.

+ References

No definition available.

+ Details

Name:	us-gaap_RelatedPartyTransactionSellingGeneralAndAdministrativeExpensesFromTransactionsWithRelatedParty
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionAxis=lptx_SharedOfficeSpaceAndOfficeRelatedExpensesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: