What is the LCM of 90 and 144?

Answer 1

Factor out each term to get:

90 = 6 x 15

= 2 x 3 x 3 x 5

= 2 x 3² x 5

144 = 12 x 12

= 2 x 6 x 2 x 6

= 2² x 2 x 3 x 2 x 3

= 24 x 3²

Select the corresponding prime with the highest exponent and determine the product of the primes from the terms we have factored out. Therefore:

LCM = 24 x 3² x 5

= 720