GCF and LCM Calculator Logo

What is the Least Common Multiple of 31093 and 31112?

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 31093 and 31112 is 967365416.

LCM(31093,31112) = 967365416

LCM Calculator and
and

Least Common Multiple of 31093 and 31112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31093 and 31112, than apply into the LCM equation.

GCF(31093,31112) = 1
LCM(31093,31112) = ( 31093 × 31112) / 1
LCM(31093,31112) = 967365416 / 1
LCM(31093,31112) = 967365416

Least Common Multiple (LCM) of 31093 and 31112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31093 and 31112. First we will calculate the prime factors of 31093 and 31112.

Prime Factorization of 31093

Prime factors of 31093 are 17, 31, 59. Prime factorization of 31093 in exponential form is:

31093 = 171 × 311 × 591

Prime Factorization of 31112

Prime factors of 31112 are 2, 3889. Prime factorization of 31112 in exponential form is:

31112 = 23 × 38891

Now multiplying the highest exponent prime factors to calculate the LCM of 31093 and 31112.

LCM(31093,31112) = 171 × 311 × 591 × 23 × 38891
LCM(31093,31112) = 967365416