GCF and LCM Calculator Logo

What is the Least Common Multiple of 66859 and 66872?

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 66859 and 66872 is 343922696.

LCM(66859,66872) = 343922696

LCM Calculator and
and

Least Common Multiple of 66859 and 66872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66859 and 66872, than apply into the LCM equation.

GCF(66859,66872) = 13
LCM(66859,66872) = ( 66859 × 66872) / 13
LCM(66859,66872) = 4470995048 / 13
LCM(66859,66872) = 343922696

Least Common Multiple (LCM) of 66859 and 66872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66859 and 66872. First we will calculate the prime factors of 66859 and 66872.

Prime Factorization of 66859

Prime factors of 66859 are 13, 37, 139. Prime factorization of 66859 in exponential form is:

66859 = 131 × 371 × 1391

Prime Factorization of 66872

Prime factors of 66872 are 2, 13, 643. Prime factorization of 66872 in exponential form is:

66872 = 23 × 131 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 66859 and 66872.

LCM(66859,66872) = 131 × 371 × 1391 × 23 × 6431
LCM(66859,66872) = 343922696