We have
8200x+4300y=35260043x+82yBut the gcd(43x+82y,352600)=lcm(43x+82y,352600)(43x+82y)352600, then for every x,y∈Z gcd(43x+82y,352600) divides (43x+82y) and 352600∴ the lowest denominator is gcd(43x+82y,352600)352600=43x+82ylcm(43x+82y,352600)For example if x=y=1 then we will have the lowest denominator to be 43+82lcm(43+82,352600)=125lcm(125,352600)=1251763000=14104
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