A number theory problem by A Former Brilliant Member

Number Theory Level pending

The lowest common multiple and the greatest common divisor of two positive integers are 4992 and 4, respectively. If one of the numbers is equal to 128, what is the value of the other number?

182 156 165 19968

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1 solution

L C M ( x , y ) LCM(x,y) x G C F ( x , y ) GCF(x,y) = x y =xy

4992 4992 x 4 = 4= 128 y 128y

y = 156 y=156

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