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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHardLevel 10
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If the HCF of two numbers is (2^2\times 3) and their LCM is (2^5\times 3^3\times 5), what is the exponent of (2) in the product of the two numbers?

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Answer and explanation

Correct answer: (7)

Step 1: For two numbers, their product equals HCF times LCM. Step 2: The exponent of (2) in the product is (2+5=7). Step 3: If only one prime exponent is asked, add only that prime's exponents.

Related tags

Hcf Lcm RelationExponentsPrime Factorisation

Frequently asked questions

What is the correct answer to this question?

(7)

Why is this the correct answer?

Step 1: For two numbers, their product equals HCF times LCM. Step 2: The exponent of (2) in the product is (2+5=7). Step 3: If only one prime exponent is asked, add only that prime's exponents.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.

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