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The GCF for a pair of numbers is 18, and the LCM is 180. If one of the numbers is 90, what is the other number?

 Jun 27, 2020
 #1
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LCM of 180 and 18 = 180
GCD of 180 and 18 = 18
LCM of 90 and 36 = 180
GCD of 90 and 36 = 18
LCM of 36 and 90 = 180
GCD of 36 and 90 = 18

LCM of 18 and 180 = 180
GCD of 18 and 180 = 18

 Jun 27, 2020
 #2
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Let m and n be the two numbers. We already know one of them is 90.

 

mn=gcd(m, n) * lcm[m, n]

90n=gcd(90, n)* lcm[90, n]

90n=18 * 180

90n = 3240

n = 36

 Jun 27, 2020

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