Question

LCM of 2 cube x 3 square and 2 square x 3 cube first ans the brainliest

Answer 1

Answer:

216

Step-by-step explanation:

lcm of 2³ *3² and 2² * 3³

LCM of 72 and 108

answer is 216

Answer 2

Given:

2 cube x 3 square and 2 square x 3 cube

To Find:

Find the LCM of the given number

Solution:

Let us first express the number in whole number form,

$2^3*3^2=72\\2^2*3^3=108$

now we can find the LCM of these numbers using different methods like the long division method or Factorization method, here we will be using the Factorization method, for which first we prime factorize the numbers and we take all the prime numbers from every factorization with their highest power and multiply them together to get the value of their LCM

$72=2^3*3^2\\108=2^2*3^3$

So, now taking the prime factors 2 and 3 with their highest power which are 3 and 3 respectively so the LCM will be,

$LCM(72,108)=2^3*3^3\\=216$

Hence, the LCM of 2 cubes x 3 square and 2 square x 3 cubes is 216.