the lowest number that is a multiple of both 60 and the integer n is 180.find the smaller possible value of n?

Question

the lowest number that is a multiple of both 60 and the integer n is 180.find the smaller possible value of n?

Answer 1

the LCM of 60 and n is 180

find the smallest value for n

180=2*2*3*3*5

from the prime factorization, choose the factors that multiply to make the smallest number but is not a factor of 60

n=3*3=9

the LCM of 60 and 9 is 180