From the Bank of England, banks are not intermediaries of loanable funds:
https://www.bankofengland.co.uk/working-paper/2015/banks-are...
The more details are given, the less interesting the special powers of commercial banks seem to be: not only is the amount of money that they can create limited to some multiple of the "real money" base, but they don't even lend that much out because it's not profitable.
The monetary base (physical currency plus banks deposits at the Fed) is currently $3.3tn.
M1 (circulating cash plus on demand deposits) is $3.9tn (the money multiplier is slightly above 1, but it was below 1 for most of this decade!).
M2 (including also savings accounts) is $14.9tn. M2/MB is 4.5, it has ranged between 3 and 5 over the last 10 years. It was between 8 and 12 in the four decades before 2008.
Central banks do have that special power, they can literally create money out of nothing. A normal bank can lend out a $, but they need to have taken a $ deposit, and it stays on the banks balance sheet.
Normal banks special powers are turning risky illiquid debt and making it appear risk free and liquid to depositors.
Voila, new money!