If the L.C.M. of a and 18 is 36 and the H.C.F of a and 18 is 2, then a =

To find the value of 'a', we can use the relationship between the L.C.M. (Least Common Multiple) and the H.C.F. (Highest Common Factor) of 'a' and 18.

Step 1: Given that the L.C.M. of 'a' and 18 is 36, we know that both 'a' and 18 are divisible by 36.

Step 2: We also know that the H.C.F. of 'a' and 18 is 2, which means that both 'a' and 18 are divisible by 2.

Step 3: Since both 'a' and 18 are divisible by 36 and 2, we can conclude that they are both divisible by the L.C.M. of 36 and 2, which is 72.

Step 4: Therefore, 'a' must be a multiple of 72. However, we cannot determine the exact value of 'a' without additional information.

In conclusion, the value of 'a' can be any multiple of 72.