Can a permutation with non-disjoint cycles still be used to find its order?

[physix123]

i am pretty sure it's true that to find the order of a permutation, you can find LCM of the length of the disjoint cycles...

if you have a permutation that doesn't have disjoint cycles (i.e. like one with (1,3,6,8)(4,6)), then can you use the same method to find the order? I feel like I am missing something...

 

[MrJB]

Rewrite (1,3,6,8)(4,6) as one permutation.