The text{g.c.d.} (greatest common divisor) of | vedclass

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(B) We know that for any two positive integers $a$ and $b$,the relationship between their $	ext{g.c.d.}$ and $	ext{l.c.m.}$ is given by the formula:

Vedclass · Accepted Answer

$192$

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(B) We know that for any two positive integers $a$ and $b$,the relationship between their $	ext{g.c.d.}$ and $	ext{l.c.m.}$ is given by the formula:$	ext{g.c.d.}(a, b) 	imes 	ext{l.c.m.}(a, b) = a 	imes b$Given that the $	ext{g.c.d.}$ is $16$ and the product of the two numbers $(a 	imes b)$ is $3072$,we can substitute these values into the formula:$16 	imes 	ext{l.c.m.} = 3072$To find the $	ext{l.c.m.}$,divide $3072$ by $16$:$	ext{l.c.m.} = \frac{3072}{16}$$	ext{l.c.m.} = 192$Therefore,the $	ext{l.c.m.}$ of the two numbers is $192$.

The $\text{g.c.d.}$ (greatest common divisor) of two numbers is $16$ and their product is $3072$. Find their $\text{l.c.m.}$ (least common multiple).

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