Question

6. If two positive integers p and q can be expressed as p = ab² and

q = a³b; a, b being prime numbers, then LCM (p, q) is

(A) ab                                     

(B) a² b²

(C) a³b²                                   

(D) a³b³
explain why​

Answer 1

Step-by-step explanation:

Answer for this question is c)a³b²

Step are given above

and multiply a.a.b.b.a

Answer 2

${\huge{\pink{\underline{\underline{\purple{\mathbb{\bold{\mathcal{AnSwEr..}}}}}}}}}$

${\huge{\blue{\bold{\underline{Given:-}}}}}$

▪︎ p = ab².

▪︎ q = a³b.

${\huge{\blue{\bold{\underline{Now,}}}}}$

$\implies \: p = ab {}^{2}. \\ \\ \implies \: p = a \times b \times b$

☆ And

$\implies \: q = a {}^{3} b \\ \\ \implies \: q = a \times a \times a \times b$

${\huge{\blue{\bold{\underline{Therefore}}}}}$

$\implies \: lcm = a \times a \\ \times a \times b \times b \\ \\ \implies \: lcm = {a}^{3} \times {b}^{2} \\ \\ \implies \: lcm = a {}^{3} b {}^{2}$

☆ Therefore option C is correct .

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