GCF and LCM Calculator Logo

What is the Least Common Multiple of 66891 and 66907?

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 66891 and 66907 is 4475476137.

LCM(66891,66907) = 4475476137

LCM Calculator and
and

Least Common Multiple of 66891 and 66907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66891 and 66907, than apply into the LCM equation.

GCF(66891,66907) = 1
LCM(66891,66907) = ( 66891 × 66907) / 1
LCM(66891,66907) = 4475476137 / 1
LCM(66891,66907) = 4475476137

Least Common Multiple (LCM) of 66891 and 66907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66891 and 66907. First we will calculate the prime factors of 66891 and 66907.

Prime Factorization of 66891

Prime factors of 66891 are 3, 11, 2027. Prime factorization of 66891 in exponential form is:

66891 = 31 × 111 × 20271

Prime Factorization of 66907

Prime factors of 66907 are 23, 2909. Prime factorization of 66907 in exponential form is:

66907 = 231 × 29091

Now multiplying the highest exponent prime factors to calculate the LCM of 66891 and 66907.

LCM(66891,66907) = 31 × 111 × 20271 × 231 × 29091
LCM(66891,66907) = 4475476137