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

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).

The largest positive integer that divides $70$ and $125$,leaving remainders $5$ and $8$ respectively,is:

Find the $HCF(510, 92)$.

The difference between the $HCF$ and $LCM$ of two prime numbers $7$ and $11$ is . . . . . . .

If $\text{g.c.d.}(12, 40) = 40 + 4x$,then $x = \dots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module