GCF and LCM Calculator Logo

What is the Least Common Multiple of 27895 and 27912?

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 27895 and 27912 is 778605240.

LCM(27895,27912) = 778605240

LCM Calculator and
and

Least Common Multiple of 27895 and 27912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27895 and 27912, than apply into the LCM equation.

GCF(27895,27912) = 1
LCM(27895,27912) = ( 27895 × 27912) / 1
LCM(27895,27912) = 778605240 / 1
LCM(27895,27912) = 778605240

Least Common Multiple (LCM) of 27895 and 27912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27895 and 27912. First we will calculate the prime factors of 27895 and 27912.

Prime Factorization of 27895

Prime factors of 27895 are 5, 7, 797. Prime factorization of 27895 in exponential form is:

27895 = 51 × 71 × 7971

Prime Factorization of 27912

Prime factors of 27912 are 2, 3, 1163. Prime factorization of 27912 in exponential form is:

27912 = 23 × 31 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 27895 and 27912.

LCM(27895,27912) = 51 × 71 × 7971 × 23 × 31 × 11631
LCM(27895,27912) = 778605240