Question

The LCM of 2².3³ and 3².2³ is ______.

Options

• 1

• 2¹.3¹

• 2³.3³

• 2⁵.3⁵

Answer 1

The LCM of 2².3³ and 3².2³ is 2³.3³.

Explanation:

Take the highest power of each prime appearing in the two numbers.

For 2 the highest exponent is max (2, 3) = 3 and for 3 it is max (3, 2) = 3.

So, LCM = 2³ × 3³

= 8 × 27 

= 216