Question

If two positive integers p and q can be expressed as p = ab2 and q = a2b; a, b being prime numbers, then LCM (p, q) is :

Answer 1

Answer:

$\text{LCM of p and q is }a^2b^2$

Step-by-step explanation:

$\text{Given that, }p = ab^2\text{ and } q = a^2b$

we have to find the LCM (p, q)

$p=a\times b^2$

$q=a^2\times b$

LCM is the product of the greatest power of each prime factor involved in the numbers therefore

$LCM(p, q)=b^2\times a^2=a^2b^2$

∴ $\text{LCM of p and q is }a^2b^2$

Answer 2

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