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You can also find this information by looking in the Monsters Database on d20pfsrd.com. I selected Type=Construct and then sorted by XP value. The lowest results were:
Monster, CR, XPV
Homunculus, 1, 400
Rune Guardian, 1, 400
Wood Idol, 1, 400
Bone Idol, 2, 600
Iron Cobra, 2, 600
Soulbound Doll, 2, 600
Adamantine Cobra, 3, 800
Animated Object, 3, 800
Caryatid Column, 3, 800
Necrophidius, 3, 800
Stone Idol, 3, 800
Carrion Golem, 4, 1200
Jade Idol, 4, 1,200
Scarecrow, 4, 1200
Ice Golem, 5, 1,600
Golden Guardian, 6, 2,400
Tribal Totem, 6, 2400