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​The LCM of two numbers is 126 and their HCF is 2. If one number is 18 then the other is: ​
Question

The LCM of two numbers is 126 and their HCF is 2. If one number is 18 then the other is:

A.

14

B.

12

C.

16

D.

9

Correct option is A

Given:

LCM (Least Common Multiple) of two numbers = 126

HCF (Highest Common Factor) of two numbers = 2

One number = 18

Formula Used:

Product of two numbers = LCM × HCF

Solution:

Let the other number be 'x'.

According to the formula:

18 × x = 126 × 2

18x = 252

x = 25218\frac{252}{18}​​

x = 14

Therefore, the other number is 14.

Thus, option(A) is right.

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