Collocations for exaggeration - noun

great, gross, huge, wild
mild, slight

degree
There was a degree of exaggeration in his description of events.

be given to, be prone to
John is not usually given to exaggeration.

allow for
Their results, even allowing for exaggeration, are impressive.

without exaggeration
There were, without exaggeration, hundreds of applications for the job.

a bit of an exaggeration
It would be a bit of an exaggeration to say that I'm desperate to leave.

it is no exaggeration to say sth
It is no exaggeration to say that having a baby changes your life.