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For which of the following pairs of integers is the least common multiple of the integers minus their greatest common divisor the greatest?

 

a. 3,12

b. 5,6

c.10,20

d.11,12

e.15,30

ISmellGood  Sep 10, 2017
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2+0 Answers

 #1
avatar+78577 
+3

 

a. 3,12

LCM  = 12   GCD  =  3     →  12 - 3  = 9

 

b. 5,6

LCM  = 30   GCD  = 1     →  30  - 1  = 29

 

c.10,20

LCM = 20   GCD = 10   →   20 - 10  =  10

 

d.11,12

LCM = 132  GCD  = 1   →  132 - 1  =  131

 

e.15,30

LCM =  30   GCD = 15    →  30 - 15  =  15

 

 

cool cool cool

CPhill  Sep 10, 2017
 #2
avatar+317 
+2

Thanks! The wording was so confusing but now that I look at it again this is actually super easy!

ISmellGood  Sep 10, 2017

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