similar to landau's function, but all elements are odd

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Everyone knows about landau's function, then I was curious about the lcm of partition "n" which element's are all odd numbers.

for example:

$$8=3+5 \Rightarrow f(8)=15$$

$$19=3+5+11 \Rightarrow f(19)=165$$

do you have any idea related or know some OEIS related to this?