One main scale division of a vernier caliper is equal to m units. If n th division of main scale coincides with ( n + 1 ) th division of vernier scale, the least count of the vernier caliper is :

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​ n MS D = ( n + 1 ) VSD ⇒ 1 VSD = n + 1 n ​ MSD L ⋅ C = 1 MSD − 1 VSD L ⋅ C = m − m ( n + 1 n ​ ) L ⋅ C = m ( n + 1 n + 1 − n ​ ) ⇒ L ⋅ C = ( n + 1 m ​ ) ​

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