GCF and LCM Calculator Logo

What is the Least Common Multiple of 27031 and 27038?

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 27031 and 27038 is 730864178.

LCM(27031,27038) = 730864178

LCM Calculator and
and

Least Common Multiple of 27031 and 27038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27031 and 27038, than apply into the LCM equation.

GCF(27031,27038) = 1
LCM(27031,27038) = ( 27031 × 27038) / 1
LCM(27031,27038) = 730864178 / 1
LCM(27031,27038) = 730864178

Least Common Multiple (LCM) of 27031 and 27038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27031 and 27038. First we will calculate the prime factors of 27031 and 27038.

Prime Factorization of 27031

Prime factors of 27031 are 27031. Prime factorization of 27031 in exponential form is:

27031 = 270311

Prime Factorization of 27038

Prime factors of 27038 are 2, 11, 1229. Prime factorization of 27038 in exponential form is:

27038 = 21 × 111 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 27031 and 27038.

LCM(27031,27038) = 270311 × 21 × 111 × 12291
LCM(27031,27038) = 730864178