Find the smallest integer that is divisible b | vedclass

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(A) To find the smallest integer divisible by both $28$ and $63$,we need to calculate the Least Common Multiple $(LCM)$ of $28$ and $63$.First,find th

Vedclass · Accepted Answer

$252$

Vedclass · Answer

(A) To find the smallest integer divisible by both $28$ and $63$,we need to calculate the Least Common Multiple $(LCM)$ of $28$ and $63$.First,find the prime factorization of each number:$28 = 2^2 	imes 7^1$$63 = 3^2 	imes 7^1$The $LCM$ is found by taking the highest power of each prime factor present in the numbers:$LCM = 2^2 	imes 3^2 	imes 7^1$$LCM = 4 	imes 9 	imes 7$$LCM = 36 	imes 7 = 252$Therefore,the smallest integer divisible by both $28$ and $63$ is $252$.

Find the smallest integer that is divisible by both $28$ and $63$.

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