Question

If p=a^3 b^2and q=b^3a^2 find lcm

Answer 1

Step-by-step explanation:

LCM means least common multiple

The LCM of two or more numbers is the least multiple that both of them can go into.

For ordinary numbers, we can get the LCM by listing the multiples of the numbers and then choosing the least multiple which is common to the numbers.

For algebraic expressions, like in this question, we choose the letters with the highest power.

P = a³b² and Q = b³a²

We pick a³ and b³

So, the LCM of P and Q = a³b³

Answer 2

Step-by-step explanation:

p = a³b²

q = a²b³

Hcf = a²b²

Lcm = p * q / Hcf

= a³b² * a²b³ / a²b²

= a * a²b³ = a³b³