Question

If two positive integers x & y are expressible in terms of primes as x = p2q3 and y = p3q, what can you say about their LCM and HCF. Is LCM a multiple of HCF? Explain.

Answer 1

☆☆heya your answer is here☆☆

solution:-
 votes in Math, Class XII-Science

We have,x=p2q3Andy=p3q∴LCM =p3q3And HCF=p2qLCM is always a multiple of HCF.

Answer 2

Given-$x = p^2q^3 and y = p^3q$

Find-What can you say about their LCM and HCF. Is LCM a multiple of HCF? Explain.

Solution-

In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm, is the smallest positive integer that is divisible by both a and b.

In Maths, HCF means the Highest Common Factor. When finding the factors of two or more numbers, some numbers are found to be common. The greatest factor found from the common factors is called the HCF. Sometimes, it is also called the greatest common factor.

$LCM=p ^3q^ 3, HCF=p^ 2 q$

Yes LCM is a multiple of HCF

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