What is the LCM for 8x 18xy?

Answer 1

lcm(8x, 18xy) = 72xy

8x = 23 x x

18xy = 2 x 32 x x x y

lcm = 23 x 32 x x x y= 72xy

Answer 2

To find the least common multiple (LCM) of 8x and 18xy, we need to identify the highest power of each prime factor that appears in either number. The prime factors of 8x are 2 and x, while the prime factors of 18xy are 2, 3, x, and y. The LCM is the product of the highest power of each prime factor: 2^3 * 3^1 * x^1 * y^1 = 24xy. Therefore, the LCM for 8x and 18xy is 24xy.