GCF and LCM Calculator Logo

What is the Least Common Multiple of 27893 and 27913?

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 27893 and 27913 is 778577309.

LCM(27893,27913) = 778577309

LCM Calculator and
and

Least Common Multiple of 27893 and 27913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27893 and 27913, than apply into the LCM equation.

GCF(27893,27913) = 1
LCM(27893,27913) = ( 27893 × 27913) / 1
LCM(27893,27913) = 778577309 / 1
LCM(27893,27913) = 778577309

Least Common Multiple (LCM) of 27893 and 27913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27893 and 27913. First we will calculate the prime factors of 27893 and 27913.

Prime Factorization of 27893

Prime factors of 27893 are 27893. Prime factorization of 27893 in exponential form is:

27893 = 278931

Prime Factorization of 27913

Prime factors of 27913 are 103, 271. Prime factorization of 27913 in exponential form is:

27913 = 1031 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 27893 and 27913.

LCM(27893,27913) = 278931 × 1031 × 2711
LCM(27893,27913) = 778577309