GCF and LCM Calculator Logo

What is the Least Common Multiple of 67881 and 67891?

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 67881 and 67891 is 4608508971.

LCM(67881,67891) = 4608508971

LCM Calculator and
and

Least Common Multiple of 67881 and 67891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67881 and 67891, than apply into the LCM equation.

GCF(67881,67891) = 1
LCM(67881,67891) = ( 67881 × 67891) / 1
LCM(67881,67891) = 4608508971 / 1
LCM(67881,67891) = 4608508971

Least Common Multiple (LCM) of 67881 and 67891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67881 and 67891. First we will calculate the prime factors of 67881 and 67891.

Prime Factorization of 67881

Prime factors of 67881 are 3, 11, 17. Prime factorization of 67881 in exponential form is:

67881 = 31 × 113 × 171

Prime Factorization of 67891

Prime factors of 67891 are 67891. Prime factorization of 67891 in exponential form is:

67891 = 678911

Now multiplying the highest exponent prime factors to calculate the LCM of 67881 and 67891.

LCM(67881,67891) = 31 × 113 × 171 × 678911
LCM(67881,67891) = 4608508971