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What is the LCM of the factors of two numbers are 22 and 23 and the gcf is 2?
Wiki User
∙ 9y ago
This is confusingly written. I think that someone wants you to learn the fact that the product of two numbers is equal to the product of their LCM and GCF.
Example: 6 and 8
GCF = 2
LCM = 24
6 x 8 = 48
2 x 24 = 48
So 22 x 23 = 506
If the GCF is 2, then the LCM is 253. But the GCF of 22 and 23 isn't 2. And 253 isn't a multiple of 22 or 23. And 22 and 23 wouldn't be the factors of two numbers. This may not have been copied correctly.
Wiki User
∙ 9y ago
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How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?
If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.
What is the greatest common factor when LCM of two numbers is the product of two numbers?
The LCM is the product of the two numbers if and only if the two numbers are co-prime. That they are co-prime means they have no factors in common so that their GCF is 1.
How do you find the LCM using GCF?
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.
Can the GCF of two different numbers is the LCM of the numbers?
No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.
Why do you think the least common multiple is not always the product of the two numbers?
The prime factorization of the LCM will contain all the prime factors of the two original numbers. When the original numbers don't have any prime factors in common, (the GCF is 1) the LCM will be their product. When the two original numbers have prime factors in common (the GCF is 2 or more) the duplicates will be discarded and the LCM will be less than their product.
What is the product of the GCF and LCM of two numbers?
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
How do you find two numbers if HCF and LCM are known?
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
Which is greater gcf or LCM?
The LCM of two numbers will never be less than the GCF.
What is the LCM and GCF of 486472?
To find the LCM and GCF of numbers at least two or more numbers are neeeded.
How are lcm and gcf alike?
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.
Can the GCF of 2 different numbers is the LCM of the numbers?
No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.
If the GCF of two numbers and the LCM is 144 what would the numbers be?
If the GCF and the LCM are both 144, then so are both of the numbers.
