If two positive integers 𝑝 and 𝑞 can be expressed as  p = ab² and  q = a³ b ; 𝑎, 𝑏

being prime numbers. Find LCM of (𝑝, 𝑞).

We are given two positive integers, 𝑝 and 𝑞, which are expressed as

𝑝 = 𝑎𝑏² and 𝑞 = 𝑎³𝑏.

The factors of 𝑝 are 𝑝 = 𝑎 × 𝑏 × 𝑏

The factors of 𝑞 are 𝑞 = 𝑎 × 𝑎 × 𝑎 × 𝑏

We know that the LCM of two integers is the product of the highest power of the integers. The highest power of 𝑎 is 3, and the highest power of 𝑏 is 2.

Hence, the LCM of (𝑝, 𝑞) is a³b²