Color measurement and certification

I wanna obtain the LAB values using icc profile But i just know the CMYK values.

I just own two things 1) CMYK values 2) an icc profile(colorspace:CMYK, PCS:LAB) file.

Is it possible to obtain the LAB values using an icc profile? CMYK -> icc profile -> LAB (Is it a correct concept about color transfer?)

via Chebli Mohamed