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(C) By definition,a prime number is a natural number greater than $1$ that has no positive divisors other than $1$ and itself.Since $a$ and $b$ are di

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$ab$

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(C) By definition,a prime number is a natural number greater than $1$ that has no positive divisors other than $1$ and itself.Since $a$ and $b$ are distinct prime numbers,they have no common factors other than $1$.The Least Common Multiple $(LCM)$ of two numbers is the smallest positive integer that is divisible by both numbers.For any two numbers $a$ and $b$,the relationship between their product,$HCF$,and $LCM$ is given by: $a 	imes b = 	ext{HCF}(a, b) 	imes 	ext{LCM}(a, b)$.Since $a$ and $b$ are distinct prime numbers,their Highest Common Factor $(HCF)$ is $1$.Therefore,$a 	imes b = 1 	imes 	ext{LCM}(a, b)$.This implies that $	ext{LCM}(a, b) = ab$.

$Q.1.$ $\text{LCM}(7, 49)$	$A. 50$
$Q.2.$ $\text{LCM}(10, 25)$	$B. 49$
	$C. 51$
	$D. 50$

The Least Common Multiple $(LCM)$ of two distinct prime numbers $a$ and $b$ is:

Similar Questions

Find the Least Common Multiple $(LCM)$ for the following pairs and match them with the correct options:
$Q.1.$ $\text{LCM}(7, 49)$ $A. 50$
$Q.2.$ $\text{LCM}(10, 25)$ $B. 49$
$C. 51$
$D. 50$

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