Question

Find the HCF and LCM of $8624$ and $21658$ by the fundamental theorem of arithmetic

• A. HCM = $90$, LCM = $1905914$
• B. HCM = $98$, LCM = $1905904$
• C. HCM = $98$, LCM = $1915904$
• D. HCM = $88$, LCM = $1905904$

Answer 1

Answer: (B)

HCM = $98$, LCM = $1905904$

$8624=2^4\times 7^2\times 11$
$21658=2\times 7^2\times 13\times 17$
$H.C.F=2\times 7^2=98$
$L.C.M=2^4\times 7^2\times 11\times 17\times 13=1905904$