According to Rav Shlomo Mann, זצ״ל, the commandment to light the Menorah is also a hint to lighting the Shabbat candles.
There is an interesting difference between the Chanukah Menorah lights and Shabbat candles. The purpose of the Shabbat candles was to benefit from its light and create Shalom Bayit.
The Chanukah candles were meant only to be looked at and we were not to benefit from its light. Similar to the Menorah of the Beit Hamikdash, the light was to create a קשר between Hashem and the Jewish people.
The Shabbat candles were intended to create peace between husband and wife. It is interesting how there are different ways that we benefit from spiritual light. The trick is to seek out the light and be inspired by it.