Extreme values for the perigee and apogee distance occur when Full Moon or New Moon is close to perigee or apogee passage,
and long-term extremes are in the months near to Earth's perihelion passage (closest approach to the Sun, when the Sun's tidal effects are strongest) in the first few days of January.

Perigees of the Moon

small distances for the perigee at Full Moon
due to the combined gravitational forces of the Sun and the Earth

2004 Jun 03: Perigee at 06:23 UT, 357250 km, Full Moon: +0d 9h

2005 Jul 21: Perigee at 19:48 UT, 357161 km, Full Moon: +0d 9h

2006 Sep 08: Perigee at 03:07 UT, 357177 km, Full Moon: +0d 8h

 

Apogees of the Moon

large distances for the apogee at New Moon:
due to the combined gravitational forces of the Sun and the Earth

2004 Jun 17: Apogee at 16:04 UT, 406570 km, New Moon: +0d 20h

2005 Aug 04: Apogee at 21:48 UT, 406628 km, New Moon: +0d 19h

2006 Sep 22: Apogee at 05:21 UT, 406499 km, New Moon: +0d 18h

Mean 2000 to 2020: 405407 km

 

Apogee distances of the Moon 2000 to 2004
Mean: 405407 km

Lunar Perigee and Apogee Calculator