Question

product of two consecutive odd numbers is 575 find its LCM

Answer 1

hence L.C.M of 23 and 35 is 575

Answer 2

Define x :

Let one of the number be x

and the other number will be (x + 2)

Solve x:

The product of these two number is 575

x(x + 2) = 575

x² + 2x - 575 = 0

(x - 23) (x + 25) = 0

x = 23 or x = - 25 ( neglect negative)

Find the two numbers:

x = 23

x + 2 = 23 + 2 = 25

Find the LCM:

23 = 23

25 = 5²

LCM =  23 x 5² = 575

Answer: The LCM of the two numbers is 575