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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.
Wiki User
∙ 9y ago
Wiki User
∙ 8y agoFor any set of co-prime numbers a and b, the LCM is ab.
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What is the LCM of 15 and 23?
The number are coprime so their LCM is their product ie 15*23 = 345
What is the LCM of 22 and 47?
The numbers are coprime so their LCM is their product, 1034.
What is the LCM of 25 and 108?
25 and 108 are coprime so their LCM is their product = 2700
What is the LCM of 43 and 75?
The LCM of a single number such as 4375 is the number itself.
When is the LCM of two number equal to their product?
When the two numbers are coprime. Coprime numbers need not be prime numbers - they must not have any factor in common (other than 1).So, for eaxmple, neither 8 nor 9 are prime numbers but they are coprime and so,LCM(8 , 9) = 72Read more: When_is_the_LCM_of_two_numbers_equal_to_the_product_of_the_two_numbers
What is the rule to find the LCM of the consecutive numbers?
It is their product since they must be coprime.
What is the LCM of 7 and 16?
112These numbers have no factors in common other than 1, they are said to be coprime.The LCM of coprime numbers is their product.
What is the LCM for 9 and 13?
The lowest common multiple of 9 and 13 is the product of the two numbers as they are coprime (they have no common factors). This results in a LCM of 117.
How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product if the numbers?
By finding out whether they have any factors in common. If the only factor they have in common is 1, the LCM will be their product. If they have more factors in common, their LCM will be less than their product.
What is the least common multiple of 10 and 9?
The LCM of 9 and 10 is: 90. Because 9 and 10 share no factors (are coprime), their LCM is their product.
When is the LCM of two numbers equal to the product of the two numbers?
When the two numbers are coprime. Coprime numbers need not be prime numbers - they must not have any factor in common (other than 1). So, for eaxmple, neither 8 nor 9 are prime numbers but they are coprime and so, LCM(8 , 9) = 72
What is the LCM of 36 and 35?
35 and 36 are coprime (any pair of consecutive numbers must be). So lcm(35, 36) = 35*36 = 1260.
