# Arithmetic Aptitude :: H.C.F and L.C.M

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**Discussion**

## 5. Let p and q be two prime numbers such that p is greater than q. If 319 is their LCM then the difference of thrice of q and p is:

**Answer:**

**Option C**

**Explanation :**

Solution: We know that HCF of two prime numbers is 1.

Product of HCF and LCM = 1 x 319 = 319.

Remember that, Product of two number = Product of their HCF and LCM

pq = 319

Now, co-primes with product 319 are (1,319) and (29,11)

Since p > q, p = 29 and q = 11

Then 3q - p = 3 - 29 = 4.

**Asked In :: **
IBM Global Edge

Solution: We know that HCF of two prime numbers is 1.

Product of HCF and LCM = 1 x 319 = 319.

Remember that, Product of two number = Product of their HCF and LCM

pq = 319

Now, co-primes with product 319 are (1,319) and (29,11)

Since p > q, p = 29 and q = 11

Then 3q - p = 3 - 29 = 4.

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