GCF and LCM Calculator Logo

What is the Least Common Multiple of 31013 and 31019?

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 31013 and 31019 is 961992247.

LCM(31013,31019) = 961992247

LCM Calculator and
and

Least Common Multiple of 31013 and 31019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31013 and 31019, than apply into the LCM equation.

GCF(31013,31019) = 1
LCM(31013,31019) = ( 31013 × 31019) / 1
LCM(31013,31019) = 961992247 / 1
LCM(31013,31019) = 961992247

Least Common Multiple (LCM) of 31013 and 31019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31013 and 31019. First we will calculate the prime factors of 31013 and 31019.

Prime Factorization of 31013

Prime factors of 31013 are 31013. Prime factorization of 31013 in exponential form is:

31013 = 310131

Prime Factorization of 31019

Prime factors of 31019 are 31019. Prime factorization of 31019 in exponential form is:

31019 = 310191

Now multiplying the highest exponent prime factors to calculate the LCM of 31013 and 31019.

LCM(31013,31019) = 310131 × 310191
LCM(31013,31019) = 961992247