# If lcm of a and 18 is 36 and the HCF of a and 18 is 2, then the value of a is?

The LCM (least common multiple) and HCF(highest common factor) are connected with an empirical formula: LCM(a,b) × HCF(a,b) = Product of the numbers a and b

## Answer: The value of a is 4.

Let's find the value of a.

**Explanation:**

Given that, LCM (a, 18) is 36 and HCF (a,18) is 2. One of the numbers is known to us as 18.

So, by applying the formula: LCM × HCF = a × 18

36 × 2 = a × 18

72 = 18(a)

18a = 72

a = 72/18 = 4.