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# LCM

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Suppose $$a,b$$ and $$c$$ are positive integers such that

$$\text{lcm}(a,b)=60,\text{lcm}(a,c)=270.$$

Find the minimum possible value of $$\text{lcm}(a,b)$$.

Jul 13, 2022

#1
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Your problem says that lcm(a,b) = 60.  So the only possible value of lcm(a,b) is 60.

Jul 13, 2022
#2
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sorry, i meant lcm(b,c)

Jul 14, 2022