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Because that is the easiest way to calculate the LCM for 2 "random" numbers. Assuming you know the prime factorization of each term (which could be hard)
@Calvin Lin
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ok you are saying that its easiest way so what about 4 we can also use this in factorization i know its not a prime number but y cant we use this i didnt got the answer of my question yet
The "HCF" is the "Highest Common Factor" of a given list of integers. The highest common factor is the integer which can divide each and every integer in the given list.
The "LCM" is the "Lowest Common Multiple" of a given list of integers. The lowest common multiple is the smallest integer which is divisible by each and every integer in the given list.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
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2^{34}
a_{i-1}
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\sin \theta
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Check out the wikis of Lowest Common Multiple and Greatest Common Divisor.
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please tell the reason of prime factorization why do we just take prime factors for lcm
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Because that is the easiest way to calculate the LCM for 2 "random" numbers. Assuming you know the prime factorization of each term (which could be hard)
Do you know the proof of the following theorem?
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The "HCF" is the "Highest Common Factor" of a given list of integers. The highest common factor is the integer which can divide each and every integer in the given list.
The "LCM" is the "Lowest Common Multiple" of a given list of integers. The lowest common multiple is the smallest integer which is divisible by each and every integer in the given list.
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what about its applications
okay so whats the application of this lcm and hcf???
Please create a complete page for HCF and LCM involving all their concepts and properties .
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Check out the wikis of Lowest Common Multiple and Greatest Common Divisor.