Question

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

Answer 1

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

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.