Respuesta :

Given:

The two numbers are 15 and 143.

To find:

The LCM of given two numbers.

Solution:

We have two number 15 and 143. Write factor form of each number.

[tex]15=3\times 5[/tex]

[tex]143=11\times 13[/tex]

There is no common factor of 15 and 143. So, we need to multiply all prime factors of both numbers to get the LCM.

[tex]LCM(15,143)=3\times 5\times 11\times 13[/tex]

[tex]LCM(15,143)=2145[/tex]

Therefore, the LCM of given numbers is 2145.