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

Report## Answer

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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