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