Question

If two positive integers p and q are written as p= ab3 and q = a3b ; a and b are prime numbers, then verify L.C.M ( p,q) X H.C.F.(p,q) = PX q

Answer 1

Answer:

∴LCM(p,q)=$b^{3}$$a^{3}$

Step-by-step explanation:

we have been given

$p=ab^{3} \\q= a^{3}b$

Now see there is trick

To find LCM In such questions we need to take highest power of the variable.

For eg.

here

$p=ab^{3}$

so from here we will take $b^{3}$

And

from

$q=a^{3}b$

we will take $a^{3}$

∴LCM(p,q)=$b^{3}$$a^{3}$

Hope it is helpful

Answer 2

Answer:

LCM(p,q)=b^{3}b

3

a^{3}a

3

Step-by-step explanation:

we have been given

\begin{gathered}p=ab^{3} \\q= a^{3}b\end{gathered}

p=ab

3

q=a

3

b

Now see there is trick

To find LCM In such questions we need to take highest power of the variable.

For eg.

here

p=ab^{3}p=ab

3

so from here we will take b^{3}b

3

And

from

q=a^{3}bq=a

3

b

we will take a^{3}a

3

∴LCM(p,q)=b^{3}b

3

a^{3}a

3