lvm = logical volume
fdisk cannot manage partitions more than 2 Tb.
Instead, parted can.
Firstly, I checked which of /dev/sd* correspond to the new drives by fdisk and df .
They were /dev/sdb and /dev/sdc.
Then, I created the partitions:
parted /dev/sdb
parted /dev/sdc
Thirdly, I creeated the physical volumes:
pvcreate /dev/sdb1 /dev/sdc1
pvdisplay
Fourthly, I crated a volume group:
vgcreate lvg-backup /dev/sdb1 /dev/sdc1
vgdisplay
Fifthly, I created a logical volume and formatted it.
lvcreate --name homebk --size 18.19TB lvg-backup
mkfs.ext4 /dev/lvg-backup/homebk
Finally, I mounted the lvm on an appropriate directory.
mkdir /mnt/backup
mount /dev/lvg-backup/homebk /mnt/backup/