The product of the greatest common divisor (G | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For any two positive integers $a$ and $b$,the fundamental theorem of arithmetic establishes a relationship between their $G$.$C$.$D$. and $L$.$C$.

Vedclass · Accepted Answer

$ab$

Vedclass · Answer

(B) For any two positive integers $a$ and $b$,the fundamental theorem of arithmetic establishes a relationship between their $G$.$C$.$D$. and $L$.$C$.$M$.Specifically,the product of the $G$.$C$.$D$. $(a, b)$ and the $L$.$C$.$M$. $(a, b)$ is equal to the product of the two numbers themselves.Therefore,$	ext{G.C.D.}(a, b) 	imes 	ext{L.C.M.}(a, b) = a 	imes b = ab$.

The product of the greatest common divisor ($G$.$C$.$D$.) and the least common multiple ($L$.$C$.$M$.) of two positive integers $a$ and $b$ is equal to: (where $a, b \in N$)

Similar Questions

Find the smallest five-digit number which is exactly divisible by $15$,$55$,and $99$.

The smallest positive number divisible by every integer from $2$ to $10$ is:

Prove that,if a positive integer is of the form $6m + 5$,then it is also of the form $3n + 2$ for some integer $n$.

Find the square root of: $\frac{7}{4} + \sqrt{3}$

The value of $\text{g.c.d.}(18, 24) \times \text{l.c.m.}(18, 24) = \dots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module