Or a 74act4060, act series are designed to be connectable to 74ls logic, I've used 74hc logic with ttl it does work fine.
This probably wont apply to your application, the counter chip that divides the frequency down to 1 hz will be accurate over a period of 1 second or more, however if you need accuracy down to a microsecond then you'll need a sychronous counter or a gating circuit that synchronizes the output with the oscillator.
An asynchronous counter will have very slight jitter on the output, over time this will cancel out.