The Lesser Himalayas or Himachal is a mountain range located in the northern part of India, stretching across the states of Jammu and Kashmir, Himachal Pradesh, and Uttarakhand. It is a part of the larger Himalayan mountain range and is characterized by its relatively lower elevation compared to the Greater Himalayas.

Among the given options, the range that is not a part of the Lesser Himalayas or Himachal is Kamet.

Explanation:
1. Pir Panjal:
- Pir Panjal is a major range of the Lesser Himalayas and is located in the Indian state of Jammu and Kashmir.
- It extends from the western part of Jammu and Kashmir to the eastern part of Himachal Pradesh.
- The range is known for its scenic beauty and is home to several popular tourist destinations like Gulmarg and Pahalgam.

2. Dhaula Dhar:
- Dhaula Dhar is another range of the Lesser Himalayas and is located in the Indian state of Himachal Pradesh.
- It separates the valleys of the Beas and Ravi rivers and is known for its picturesque landscapes and treks.
- Popular hill stations like Dharamshala and McLeod Ganj are situated in this range.

3. Mahabharat:
- Mahabharat is not a part of the Lesser Himalayas or Himachal.
- It is a lesser-known range that lies in Nepal, not in India.
- The Mahabharat range runs parallel to the Himalayas in Nepal and serves as a natural boundary between the Terai plains and the hilly region.

4. Kamet:
- Kamet is also not a part of the Lesser Himalayas or Himachal.
- It is a mountain peak located in the Garhwal region of Uttarakhand, India.
- Kamet is part of the Greater Himalayas and is one of the highest peaks in the region, standing at an elevation of 7,756 meters.

In summary, among the given options, Kamet is the range that is not a part of the Lesser Himalayas or Himachal.