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Alona [7]
2 years ago
11

Is the statement below always,sometimes,or never true? Give at least two examples to support your reasoning. The LCM of two numb

ers is the product of tjr two numbers
Mathematics
1 answer:
Natali5045456 [20]2 years ago
3 0

Answer:

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

Step-by-step explanation:

<u>STATEMENT:</u> 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.

<u>Example: </u>

  • 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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