What does it mean to have a high mean corpuscular hemoglobin content (MCH)?

A high mean corpuscular hemoglobin content (MCH), if accompanied by a decrease in hemoglobin, suggests that macrocytic anemia may be present.
The MCH is obtained by dividing the amount of hemoglobin per liter of blood by the number of red blood cells per liter of blood. This value reflects the amount of hemoglobin in the red blood cells, and the normal reference value is 27-34 pg.
Generally speaking the elevation of this value is mostly used to identify the type of anemia. Elevated values can be seen in macrocytic anemia such as megaloblastic anemia. The results of this test are often combined with the red blood cell count, hemoglobin, mean red blood cell volume, and mean red blood cell hemoglobin concentration.
A high mean cell hemoglobin (MCH) value suggests that the patient should seek prompt medical attention to complete the relevant investigations and receive standardized treatment.

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