What is the LCM of 250 and 375 using prime fatorization?

Answer 1

To find the Least Common Multiple (LCM) of 250 and 375 using prime factorization, you first need to factorize each number.

250 = 2 x 5^3 and 375 = 3 x 5^3.

Then, identify the common and uncommon prime factors: 2, 3, and 5.

Finally, multiply the highest power of each prime factor together to find the LCM: LCM(250, 375) = 2 x 3 x 5^3 = 1500.

Answer 2

250 = 2 x 5 x 5 x 5, 375 = 3 x 5 x 5 x 5

LCM = 2 x 5 x 5 x 5 x 3 = 750 (3 x 250, 2 x 375)