To find the value of a, we can use the relationship between the Least Common Multiple (LCM) and the Highest Common Factor (HCF) (or GCD). The formula states:
LCM(a, b) × HCF(a, b) = a × b
In this case, we know:
- LCM(a, 18) = 36
- HCF(a, 18) = 2
Substituting these values into the formula:
36 × 2 = a × 18
This simplifies to:
72 = a × 18
To find a, we divide both sides by 18:
a = 72 / 18 = 4
Thus, the value of a is 4.