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https://jakubmarian.com/each-others-vs-each-others-in-english/
In the case of “each other”, “other” is in the singular because it follows “each”—you wouldn’t say “each teachers” instead of “each teacher”, would you… By adding the possessive ’s, we get the correct form each other’s.
Suppose there are two women.
"They were eating each other(')s pussies."
Okay...so how about this one: a group of (others) showing plural possessive?
"the others opinions were varied"
Would that be other's or others', or neither?
In your example (two women):
Other's.
(Singular possessive. "Each" makes it singular.)
But if 5 women were all looking at one anothers' pussies, it would be
Anothers'
(Apostrophe after the s for plural possessive.)