Ironically, Royce, two of the oldest manuscripts of the Book of Leviticus are Greek Septuagint Ones - 4QLXXLeva and 4QLXXLevb dating from the 2nd Century BCE (both from among the DSS).
There is one manuscript that predates them - 4QExod-Levf - which as you can see, contains both Exodus and Lev. This dates to around 250 BCE, therefore even predating the Great Isaiah Scroll.
They also have a contemporary - 4QLev-Numa - containing, again, two books (Leviticus & Numbers). This has been dated to 2nd Century BCE.
The next oldest are further DSS manuscripts, the oldest being 11QPaleoLeva (written in Paleo Hebrew) dating from around 90-100BCE. There are several more dating to the 1st Century BCE - 1QPaleolev; 2QPaleolev; 4QLevb & MasLeva.
The two remaining manuscripts that can actually be dated are MasLevb and 4QLevd.
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