GCF and LCM Calculator Logo

What is the Least Common Multiple of 11878 and 11887?

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 11878 and 11887 is 141193786.

LCM(11878,11887) = 141193786

LCM Calculator and
and

Least Common Multiple of 11878 and 11887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11878 and 11887, than apply into the LCM equation.

GCF(11878,11887) = 1
LCM(11878,11887) = ( 11878 × 11887) / 1
LCM(11878,11887) = 141193786 / 1
LCM(11878,11887) = 141193786

Least Common Multiple (LCM) of 11878 and 11887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11878 and 11887. First we will calculate the prime factors of 11878 and 11887.

Prime Factorization of 11878

Prime factors of 11878 are 2, 5939. Prime factorization of 11878 in exponential form is:

11878 = 21 × 59391

Prime Factorization of 11887

Prime factors of 11887 are 11887. Prime factorization of 11887 in exponential form is:

11887 = 118871

Now multiplying the highest exponent prime factors to calculate the LCM of 11878 and 11887.

LCM(11878,11887) = 21 × 59391 × 118871
LCM(11878,11887) = 141193786