Lcd Calculator

Whole numbers separated by commas or spaces, e.g. 12, 18, 24. Negative values are treated by magnitude.
Greatest common factor
6
GCF and LCM Calculator
Least common multiple
36
GCF (exact)
6
LCM (exact)
36
Numbers are coprime
No
GCF x LCM (two numbers only)
216
How many numbers
2
Worked out from Euclid, Elements, Book VII, Propositions 1-3 (the Euclidean algorithm) and 2 other sources.

How this is worked out

5 steps
  1. 12 = 2^2 x 3
  2. 18 = 2 x 3^2
  3. GCF = the product of every prime raised to its lowest shared power = 6.
  4. LCM = the product of every prime raised to its highest power = 36.
  5. Check: GCF x LCM = 6 x 36 = 216, which equals 12 x 18.
All common factorstable
1, 2, 3, 6
Prime factorizationstable
12 = 2^2 x 3, 18 = 2 x 3^2
numbersUsedtable
12, 18

Results are general information, not financial, tax, legal, medical or engineering advice.