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The LCM of two prime numbers is 221 if one of the numbers is 13 then find the other number?
1. 17
2. 19
3. 11
4. 23

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Correct Answer - Option 1 : 17

Given:

The LCM of two prime numbers is 221 and one number is 13

Formula used:

Product of numbers (a × b) = HCF of (a, b) × LCM of (a, b)

Calculation:

Let the number be x and we know that the HCF of two prime numbers is always one

∴ HCF of number is 1

Now, we know the property that the Product of numbers (a × b) = HCF of (a, b) × LCM of (a, b)

∴ 221 × 1 = 13 × x

⇒ x = 17

Hence, option (1) is correct

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