Planets with Less than 15 Moons:
* Mercury: 0 moons
* Venus: 0 moons
* Earth: 1 moon
* Mars: 2 moons
* Jupiter: 79 moons (more than 15)
* Saturn: 82 moons (more than 15)
* Uranus: 27 moons
* Neptune: 14 moons
Conclusion:
Only Mercury, Venus, Earth, Mars, and Neptune have less than 15 known moons.
Keep in mind that our understanding of the solar system is constantly evolving, so new moons could be discovered in the future!