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Up to six funds side by side, and how much of each is the same portfolio as the others. Overlap is Σ min(weight) over the stocks both hold, from the latest disclosures.

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Overlap

share of the portfolio the two funds hold in common

LIC MF Mid CapKotak Mid Cap
LIC MF Mid Cap
itself
0%
Kotak Mid Cap
0%
itself

Most alike: LIC MF Mid Cap Fund and Kotak Mid Cap Fund share 0% of their portfolios. Two funds this different are doing different things; whether that is what you want is a separate question.

Side by side

record, cost, returns, drawdown, size

MeasureLIC MF Mid CapKotak Mid Cap
CategoryMid CapMid Cap
Share of three-year stretches it beat its category P40% of 383% of 109
Regular plan costs more than Direct by, a year P51.20%1.44%
Portfolio turned over a year P193%not measured
Run by P7Manoj Bajpai · 3 monot known
1-year return5.9%4.8%
3 years p.a.16.7%18.1%
5 years p.a.16.8%
Deepest fall (max drawdown)−21.5%−20.9%
Assets (AUM)₹388 Cr₹64,136 Cr
Disclosed history5.3 yrs
Holdings · top ten weight53 · 31%— · —

Funds in different categories are not comparable on returns — a category error is the first thing the postulates refuse to make. Compare each to its own category on its fund page.