Same VLAN IDs at Seperate Sites

Hello,

I have 6 branch offices each with their own VPN connection back to head office.

Right now there is basically only one network per site. I want to implement VOIP phones and wireless at each site, so I plan on implementing VLANs at each site on the existing access switches.

I was wonder if having VLAN IDs (VLAN 10, VLAN 20 and VLAN 30) at every site with different IP networks would cause a problem?

HQ

10.10.1.0/24 VLAN 10

10.20.1.0/24 VLAN 20

10.30.1.0/24 VLAN 30

Branch 1

10.10.2.0/24 VLAN 10

10.20.2.0/24 VLAN 20

10.30.3.0/24 VLAN 30

Any feedback would be greatly appreciated.