A LI nanny makes slightly less than a LO nanny, IF she lives in 24/7. The PP is correct that the reduction in wages is around $2/hour. However, if you wish for a nanny to only LI during the work week, you can't really reduce salary, since the nanny will still be (presumably) paying rent elsewhere.
If your main concern in looking for a LI nanny is financial savings, I don't think you're going to be all that pleased with the "savings" you'll see. Especially in your situation, with newborn twins and an older sibling. If you are expecting nanny to be capable of full charge care (i.e., if you and your partner will be working FT) an experienced nanny will likely cost you $18+ per hour, and less experienced one will cost slightly less. If you are in a major metro area the cost may be slightly higher.
For example, using the care.com wage calculator, which is notoriously on the low end of accurate (
http://www.care.com/babysitting-rates)
In Georgetown:
A nanny w/ 1 year of experience caring for 3 kids, $14/hr
A nanny w/ 10+ years experience caring for 3 kids, $18.50/hr
In Richmond:
1 year experience, $11.50/hr
10+ years experience, $14.50/hr
In PGC,:
1 year experience, $13.50
10+ years experience, $17.50
Of course, I have no idea where you live, but I'd guess you're looking at about $15+ per hour, and with OT (if applicable) a 50 hour week will cost you $750+ per week in addition to about a 10% cost for taxes. And that's for a relatively experienced LI. A LO will be about $17+/hr, plus OT, so that means around $935/week + 10%
Of course, you can find cheaper care, and you may be able to find someone perfectly capable for $10/hour. But that person will be very likely to leave as soon as she meets other nannies and determines she is underpaid.