GCF and LCM Calculator Logo

What is the Least Common Multiple of 27866 and 27878?

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 27866 and 27878 is 388424174.

LCM(27866,27878) = 388424174

LCM Calculator and
and

Least Common Multiple of 27866 and 27878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27866 and 27878, than apply into the LCM equation.

GCF(27866,27878) = 2
LCM(27866,27878) = ( 27866 × 27878) / 2
LCM(27866,27878) = 776848348 / 2
LCM(27866,27878) = 388424174

Least Common Multiple (LCM) of 27866 and 27878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27866 and 27878. First we will calculate the prime factors of 27866 and 27878.

Prime Factorization of 27866

Prime factors of 27866 are 2, 13933. Prime factorization of 27866 in exponential form is:

27866 = 21 × 139331

Prime Factorization of 27878

Prime factors of 27878 are 2, 53, 263. Prime factorization of 27878 in exponential form is:

27878 = 21 × 531 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 27866 and 27878.

LCM(27866,27878) = 21 × 139331 × 531 × 2631
LCM(27866,27878) = 388424174