GCF and LCM Calculator Logo

What is the Least Common Multiple of 27857 and 27867?

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 27857 and 27867 is 776291019.

LCM(27857,27867) = 776291019

LCM Calculator and
and

Least Common Multiple of 27857 and 27867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27857 and 27867, than apply into the LCM equation.

GCF(27857,27867) = 1
LCM(27857,27867) = ( 27857 × 27867) / 1
LCM(27857,27867) = 776291019 / 1
LCM(27857,27867) = 776291019

Least Common Multiple (LCM) of 27857 and 27867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27857 and 27867. First we will calculate the prime factors of 27857 and 27867.

Prime Factorization of 27857

Prime factors of 27857 are 89, 313. Prime factorization of 27857 in exponential form is:

27857 = 891 × 3131

Prime Factorization of 27867

Prime factors of 27867 are 3, 7, 1327. Prime factorization of 27867 in exponential form is:

27867 = 31 × 71 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 27857 and 27867.

LCM(27857,27867) = 891 × 3131 × 31 × 71 × 13271
LCM(27857,27867) = 776291019