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How to use Euclids algorithim to find LCM? 
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#1
Dec2611, 06:00 PM

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I know it's a really basic problem. I can find GCD with it but I can't find how to use the euclidean algorithm to find the LCM of two numbers? Sorry for the noob question :)



#2
Dec2611, 07:07 PM

HW Helper
P: 2,944

Once you have the GCD, use the well known equation
LCM(a,b)*GCD(a,b) = a*b or LCM = (a*b)/GCD Just divide the product by the GCD and you have the LCM. 


#3
Dec2611, 07:56 PM

P: 2

Oh ok, so with 8, 19 for example you would just do 8x19 then divide that by GCD of 8, 19. The GCD of 8, 19 is 1 so the answer is just 152 right? This is great, I loved when I discovered Euclids algorithm for GCD and was really excited when I found it could do LCM as well. Thanks so much for your help, I appreciate it.



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