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Least Common Multiple of 3 and 13

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 3 and 13 is 39.

LCM(3,13) = 39

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Least Common Multiple of 3 and 13 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3 and 13, than apply into the LCM equation.

GCF(3,13) = 1
LCM(3,13) = ( 3 × 13) / 1
LCM(3,13) = 39 / 1
LCM(3,13) = 39

Least Common Multiple (LCM) of 3 and 13 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3 and 13. First we will calculate the prime factors of 3 and 13.

Prime Factorization of 3

Prime factors of 3 are 3. Prime factorization of 3 in exponential form is:

3 = 31

Prime Factorization of 13

Prime factors of 13 are 13. Prime factorization of 13 in exponential form is:

13 = 131

Now multiplying the highest exponent prime factors to calculate the LCM of 3 and 13.

LCM(3,13) = 31 × 131
LCM(3,13) = 39

Recent Comments
Guest 2020-02-06 18:25:44

Why is it not showing the factors

Guest 2019-11-14 17:49:27

Awesome dude! I can do my taxes in 5 hours! ( i type really slow because I have no fingers!) Also, they help me count the number of chicken wings I should eat. What I do is calculate the least common multiple of my age and how many years it's been since my wife left me. This time it was 63 (my age) and 21 ( how many years it's been). I hope you enjoy this site as much as I do! Have a good life, my friend.

Guest 2019-09-19 11:45:01

its not working

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