Asked by alicia
32. If a = 5^2 • 7 • 11 • 13 and b = 2^3 • 5^2 • 7^3 • 17, find the following. (Leave your answer written with exponents.)
(a) GCD(a, b) (b) LCM(a,b)
(a) GCD(a, b) (b) LCM(a,b)
Answers
Answered by
MathMate
a = <b>5^2</b> • <b>7</b> • 11 • 13
b = 2^3 • 5^2 • 7^3 • 17
The factors common to both a and b have been highlighted. The product of these factors is the GCD.
The LCM is the product of the remaining factors (not highlighted) of both a and b, i.e. 11•13•2^3•5^2•7^3•17
b = 2^3 • 5^2 • 7^3 • 17
The factors common to both a and b have been highlighted. The product of these factors is the GCD.
The LCM is the product of the remaining factors (not highlighted) of both a and b, i.e. 11•13•2^3•5^2•7^3•17
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