This is the 376th most frequent Lithuanian word.
kitiems
"To others" or "for others."
Here, "kitiems" is used as a dative plural form referring to "other" (masculine), indicating the recipients of the action of buying gifts.
Aš nupirkau dovanų kitiems svečiams.
I bought gifts for the other guests.
In this sentence, "kitiems" refers to 'others' (people in general) and is used in the dative plural to specify to whom time is being dedicated.
Ji visada dedikuoja laiką kitiems.
She always dedicates time to others.
The usage of "kitiems" shows it as a dative plural form to indicate those who are being helped.