Large language models (LLMs) are commonly used for long-form question answering, which requires them to generate paragraph-length answers to complex questions. While long-form QA has been well-studied in English via many different datasets and evaluation metrics, this research has not been extended to cover most other languages. To bridge this gap, we introduce CaLMQA, a collection of 2.6K complex questions spanning 23 languages, including under-resourced, rarely-studied languages such as Fijian and Kirundi. Our dataset includes both naturally-occurring questions collected from community web forums as well as questions written by native speakers, whom we hire for this purpose. Our process yields diverse, complex questions that reflect cultural topics (e.g. traditions, laws, news) and the language usage of native speakers. We conduct automatic evaluation across a suite of open- and closed-source models using our novel metric CaLMScore, which detects incorrect language and token repetitions in answers, and observe that the quality of LLM-generated answers degrades significantly for some low-resource languages. We perform human evaluation on a subset of models and see that model performance is significantly worse for culturally specific questions than for culturally agnostic questions. Our findings highlight the need for further research in LLM multilingual capabilities and non-English LFQA evaluation.