Least Material Condition (LMC)

Least material condition (LMC) is the size at which a feature holds the least material: the largest allowed hole or the smallest allowed pin. A circled L after a geometric tolerance means the tolerance applies at LMC and grows as the feature is made toward MMC. It is used to guarantee a minimum wall, edge distance or machining stock, not assembly.

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At a glance

Group
Modifiers and datums
Datum
Not a control
Modifiers
Ⓛ after tolerance or datum

What it means

With LMC the worry is the opposite of MMC: a big hole near an edge leaves a thin wall. At the largest hole size the wall is thinnest, so location must be tightest there. As the hole is made smaller, the wall gets thicker and the hole may move further without the wall getting any thinner.

For a hole, LMC is the upper size limit. For a pin or boss, LMC is the lower size limit. Bonus = how far the actual size is from LMC.

LMC callouts cannot be checked with a simple functional gauge, because the boundary they protect is inside the material. They are checked by CMM or by measuring size and location separately.

How it changes the tolerance

Like MMC, LMC does not create a new zone shape. It sizes the zone of the control it modifies, almost always position.

For a Ø10.0–10.2 hole with position Ø0.1 at LMC, the allowed tolerance is Ø0.1 at 10.2 and rises to Ø0.3 at 10.0: the reverse of the MMC chart.

Bonus tolerance at LMCA line chart. The horizontal axis is actual hole size from 10.0 to 10.2 mm. The allowed position tolerance falls from 0.3 at 10.0 to 0.1 at 10.2, labelled bonus from LMC.10.010.110.20.10.20.3actual hole size (mm)allowed position tolerance Ø (mm)bonus grows away from LMC
Original Coplain diagram, not to scale; zones are exaggerated so they are visible.

Datums

LMC is a modifier and has no datum of its own. After a datum letter, a circled L means the datum feature applies at its least material boundary (LMB).

Where it can be used

ModifierWith least material condition (lmc)
Applies toFeatures of size only: holes, pins, bosses, slots, tabs.
Typical usePosition of holes near edges, cored holes in castings that must clean up, bosses that must keep a wall.
Not allowed withRunout, profile tolerances and surface form controls.

Example feature control frame

Example feature control frameFeature control frame: position symbol, diameter 0.1 at least material condition, datums A and B.Ø0.1LAB

Example: a Ø10.0–10.2 mm hole whose basic centre is 6.0 mm from edge B, position Ø0.1 at LMC

  1. LMC of the hole = 10.2 mm (largest). At LMC the hole radius is 5.1 and the axis may move 0.05: thinnest wall = 6.0 − 5.1 − 0.05 = 0.85 mm.
  2. At 10.0 mm the bonus is 0.2, allowed position Ø0.3, so the axis may move 0.15: wall = 6.0 − 5.0 − 0.15 = 0.85 mm.
  3. Every size gives the same minimum wall of 0.85 mm: that is what LMC guarantees.

Result: With LMC the designer gets a guaranteed 0.85 mm wall while the shop gets up to Ø0.3 position tolerance on smaller holes.

How it is inspected

Common mistakes

How it relates to neighbouring symbols

Every GD&T symbol page: GD&T symbols chart

Calculators and further reading

Frequently asked questions

What is LMC for a hole and for a shaft?

For a hole, LMC is the largest allowed size. For a shaft or pin, it is the smallest allowed size.

When should I use LMC instead of MMC?

Use LMC when the risk is too little material, such as a thin wall, edge distance or stock for machining. Use MMC when the risk is parts not assembling.

Can LMC be checked with a functional gauge?

No. The boundary it protects is inside the material, so it is checked by CMM or by measuring size and location and calculating.

How do you calculate bonus at LMC?

Bonus = the difference between the actual size and the LMC size. For a Ø10.0–10.2 hole at LMC, a 10.05 hole gets 0.15 bonus.

Sources

  1. ASME Y14.5-2018 Dimensioning and Tolerancing, ASME
  2. ASME Y14.5-2009 Dimensioning and Tolerancing (for drawings made to the earlier edition), ASME
  3. ISO 1101 Geometrical product specifications (GPS) — Geometrical tolerancing, ISO

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