Respuesta :

Answer:

  • True for Co-Prime Numbers
  • False for Non Co-Prime Numbers

Step-by-step explanation:

STATEMENT: The LCM of two numbers is the product of the two numbers.

This statement is not true except if the two numbers are co-prime numbers.

Two integers a and b are said to be co-prime if the only positive integer  that divides both of them is 1.

Example:

  • Given the numbers 4 and 7, the only integer that divides them is 1, therefore they are co-prime numbers and their LCM is their product 28.
  • However, consider the number 4 and 8. 1,2 and 4 divides both numbers, they are not co-prime, Their LCM is 8 which is not the product of the numbers.

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