Q21.Assertion(A): The LCM of two prime numbers is always 1. Reason(R): The only common factor between any two prime numbers is 1. * 1 point
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Answer:
The LCM of two or more prime numbers is equal to their product
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The assertion is incorrect but the reason is correct.
Solution: The HCF of two numbers is the highest common factor of those numbers. Since a prime number has only 1 and the number itself has its factors, therefore, only 1 is their common factor as well as its HCF.
Now, the relation between HCF, LCM and the numbers are:
HCF * LCM = Product of the numbers
=> 1 * LCM = Product of the numbers
=> LCM = Product of the numbers
Therefore, the LCM of two prime numbers is equal to their product and 1 is their only common factor.
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