LCM and HCF

Number Theory Level 1

If the product of two numbers is 10580 and HCF is 23, find LCM.

2 solutions

Sharky Kesa
Jun 20, 2014

$HCF(x, y) \times LCM(x, y) = xy$

$LCM = \frac {xy}{HCF}$

$LCM = \frac {10580}{23}$

$LCM = 460$

i dont know

adnan master - 1 year, 9 months ago

Vignesh Rao
Mar 16, 2015

Let the numbers be $x$ and $y$

$xy= 10580$ ...(I)

$\frac{Product}{HCF} = y\Rightarrow \frac{10580}{23} =460 = y$ ...(II)

Substituting value of $y$ in equation I we get ,

$460x = 10580$

$x= \frac{10580}{460} = 23$

Now, LCM of 23 and 460 = 460