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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
Is 16 and 18 coprime numbers?
No.
What number coprime with 18?
coprime numbers with 18 are : 17 and 19.
What is the greatest common factor of 9 and 16?
The GCF of 9 and 16 is 1 because it is the only factor shared by both numbers, and thus is the greatest.The p rime factorization of 9 = 3x3The prime factorization of 16 = 2x2x2x2Nothing is common from the prime factorization of both numbers.Therefore, Greatest Common Factor is 1.The greatest common factor of 9 and 16 is 1.
What is the least common multiple of 2 coprime numbers?
The least common multiple of two numbers is the product of those two numbers divided by their greatest common factor. It the two numbers are coprime (or relatively prime), their greatest common factor is 1. Therefore, their least common multiple is a x b ÷ GCF (of a and b) = a x b ÷ 1 = a x b. The least common multiple of two coprime numbers is the numbers multiplied together.
