If text{g.c.d.}(336, 52) = 4,then text{l.c.m. | vedclass

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(A) We know that for any two positive integers $a$ and $b$,the relationship between their greatest common divisor $(GCD)$ and least common multiple $(

Vedclass · Accepted Answer

$4368$

Vedclass · Answer

(A) We know that for any two positive integers $a$ and $b$,the relationship between their greatest common divisor $(GCD)$ and least common multiple $(LCM)$ is given by the formula: $	ext{GCD}(a, b) 	imes 	ext{LCM}(a, b) = a 	imes b$ Given $a = 336$ and $b = 52$. First,we find the prime factorization of $336$ and $52$: $336 = 2^4 	imes 3 	imes 7$ $52 = 2^2 	imes 13$ The $	ext{GCD}(336, 52) = 2^2 = 4$. Now,using the formula: $4 	imes 	ext{LCM}(336, 52) = 336 	imes 52$ $	ext{LCM}(336, 52) = \frac{336 	imes 52}{4}$ $	ext{LCM}(336, 52) = 84 	imes 52 = 4368$ Thus,the correct option is $A$.

If $\text{g.c.d.}(336, 52) = 4$,then $\text{l.c.m.}(336, 52) = \dots$

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