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Mathematics 14 Online
OpenStudy (science0229):

Number Theory! (again)

OpenStudy (decentnabeel):

what?/

OpenStudy (science0229):

Find the 2 natural numbers that satisfy the following conditions 1. a+b=5432 2. lcm(a,b)=223020

OpenStudy (science0229):

@Hero help me!

OpenStudy (science0229):

Can you provide me with a solution that doesn't involve computer?

OpenStudy (decentnabeel):

3780,1652 these are two natural number a=3780 b=1652 1=a+b=3780+1652=5432 2=lcm(3780,1652)=223020

OpenStudy (lynfran):

@DecentNabeel is correct

OpenStudy (decentnabeel):

Prime factors of 1652 = 2^2 . 7 . 59 Prime factors of 3780 = 2^2 . 3^3 . 5 . 7 LCM = 2^2. 7^1. 59^1. 3^3. 5^1 = 223020

OpenStudy (science0229):

But how did you get that answer?

OpenStudy (decentnabeel):

3780,1652 these are 2 natural number

OpenStudy (decentnabeel):

are you understand @science0229

OpenStudy (science0229):

I just found a decent solution. http://www2.hawaii.edu/~shuguang/Classes/MATH317Spring03/Homework/k5.pdf

OpenStudy (science0229):

Now I got it

OpenStudy (decentnabeel):

ok @science0229

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