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If (x=2^5 \times 5^2) and (y=2^2 \times 5^4), what will be the exponent of (5) in the LCM of (x) and (y)?
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Answer and explanation
Correct answer: (4)
Step 1: In LCM, take the larger exponent of each prime factor. Step 2: The exponents of (5) are (2) and (4), so the larger one is (4). Step 3: Remember that LCM uses maximum exponents.
Frequently asked questions
What is the correct answer to this question?
(4)
Why is this the correct answer?
Step 1: In LCM, take the larger exponent of each prime factor. Step 2: The exponents of (5) are (2) and (4), so the larger one is (4). Step 3: Remember that LCM uses maximum exponents.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.
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