LCM must be a multiple of the HCF: impossible LCM or ratio

This type of question, asked 2 times: CDS 1 2019, CDS 2 2023. All 2 questions below, oldest first.

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Question 1
CDS 1 2019
13 $HCF of two numbers is 12. Which one of the following can never be their LCM ?$
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Question 2
CDS 2 2023
13 $Let L be the LCM and H be the HCF of two given numbers. L and H are in the ratio 3 : 2. If the sum of the two numbers is 45, then what is the product of the numbers ?$
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