Araiscool1
Araiscool1 Araiscool1
  • 08-07-2017
  • Mathematics
contestada

The GCD(a, b) = 6, the LCM(a, b)=180. Find the least possible value of a+b.

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Аноним Аноним
  • 14-07-2017
The factors of 180 are
(1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15).

The GCD of 6 is the largest positive integer that divides 180.
Therefore the required factors of  180 are a=6 and b=30 or vice versa.
a + b = 6 +30 = 36

Answer: 36
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