Is LCM of a co-prime number is the product of number itself ? – Science


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You cannot have a co-prime number. There
must be two or more number that are co-prime. Therefore, as given,
the question makes no sense. A correct interpretation is: “Is the
LCM of a set of co-prime numbers the product of the numbers
themselves?” The answer to that question is: NO.

For example, the numbers {6, 10, 15} are co-prime since there is no
integer (other than 1) which will divide all three. Their LCM is 30
whereas their product is 900.

The product is the square of the LCM is because the selected
numbers are semi-primes. In general, that does not happen for sets
of co-prime numbers.

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