If the Least Common Multiple (LCM) of two num | vedclass

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

Question

(A) We know that for any two positive integers $a$ and $b$,the relationship $a 	imes b = LCM(a, b) 	imes GCD(a, b)$ holds true.Given that $LCM(a, b)

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) We know that for any two positive integers $a$ and $b$,the relationship $a 	imes b = LCM(a, b) 	imes GCD(a, b)$ holds true.Given that $LCM(a, b) = a 	imes b$.Substituting this into the formula,we get $a 	imes b = (a 	imes b) 	imes GCD(a, b)$.Dividing both sides by $a 	imes b$ (assuming $a, b 
eq 0$),we get $GCD(a, b) = 1$.Therefore,the correct answer is $1$.

If the Least Common Multiple $(LCM)$ of two numbers is equal to their product,then their Greatest Common Divisor $(GCD)$ is ........ .

Similar Questions

For the decimal expansion of a rational number $\frac{p}{q}$ to be terminating,if $q = 2^m \cdot 5^n$,then $m, n \in$ . . . . . . ($R$,$N \cup \{0\}$,$Z$)

Find the $HCF$ and $LCM$ of the following pair of integers $510$ and $92$ and verify that $HCF \times LCM = \text{product of the two numbers}$.

Find the $LCM(26, 91)$.

Find the Least Common Multiple $(LCM)$ of $6$,$72$,and $120$.

Express the number $5005$ as a product of its prime factors.

Vedclass Test Series

Exam Paper Generator

Online Exam Module