The two numbers are 10 and 12.
10 and 12.
The GCF of consecutive even numbers is 2. The LCM of consecutive even numbers is their product divided by 2.
Their GCF will be 2. Their LCM will be half their product.
54 and 56
Since the numbers differ by 2 and the GCF is 2, they are consecutive even integers. So the numbers are 6 and 8.
The LCM of two consecutive even numbers is their product divided by two.
It's the way numbers work. Consider 32 and 33. Consecutive integers are relatively prime, that is, their GCF is 1. If two numbers have a GCF of 1, the LCM will be their product. 32 x 33 = 1056 1 (GCF) x 1056 (LCM) = 1056 2 x 528 = 1056 3 x 352 = 1056 4 x 264 = 1056 Notice the pattern. As the GCF increases, the LCM decreases. Consider 32 and 34. Consecutive even numbers have a GCF of 2. The LCM of 32 and 34 is 544. 32 x 34 = 1088 2 (GCF) x 544 (LCM) = 1088 If you know either the GCF or the LCM of two numbers, you can find the other one without factoring again. The GCF of 28 and 36 is 4. Their product is 1008. Their LCM is 1008 divided by 4, or 252.
The LCM of two numbers will never be less than the GCF.
The LCM of two numbers is one of the numbers when one of the numbers is a multiple of the other. The LCM of two numbers is the product of the numbers when they are relatively prime. In all other cases (like consecutive even numbers that aren't 2 and 4) the LCM is as you describe.
The LCM will never be less than the GCF of a set of numbers.
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.