To find two numbers whose product is 90 and least common multiple (LCM) is 30, we need to consider the prime factorization of both numbers. The prime factors of 90 are 2 x 3 x 3 x 5, and the prime factors of 30 are 2 x 3 x 5. To find the numbers, we pair up the common factors and multiply them together, which gives us 2 x 3 = 6 and 5. Therefore, the two numbers are 6 and 15.
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Since the product of two numbers is equal to the product of their GCF and LCM, the GCF of two numbers is equal to their product divided by their LCM and their LCM is equal to their product divided by their GCF.
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
4 and 6 6 and 8 Any time the two numbers have a common factor, their LCM will be less than the product because the common factor contributes to the LCM fewer times than it contributes to the product.
If the HCF (Highest Common Factor) of two numbers is 1, then the two numbers are relatively prime and their LCM is the product of the two numbers.