GCF and LCM Calculator Logo

What is the Least Common Multiple of 66873 and 66893?

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 66873 and 66893 is 4473335589.

LCM(66873,66893) = 4473335589

LCM Calculator and
and

Least Common Multiple of 66873 and 66893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66873 and 66893, than apply into the LCM equation.

GCF(66873,66893) = 1
LCM(66873,66893) = ( 66873 × 66893) / 1
LCM(66873,66893) = 4473335589 / 1
LCM(66873,66893) = 4473335589

Least Common Multiple (LCM) of 66873 and 66893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66873 and 66893. First we will calculate the prime factors of 66873 and 66893.

Prime Factorization of 66873

Prime factors of 66873 are 3, 22291. Prime factorization of 66873 in exponential form is:

66873 = 31 × 222911

Prime Factorization of 66893

Prime factors of 66893 are 151, 443. Prime factorization of 66893 in exponential form is:

66893 = 1511 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 66873 and 66893.

LCM(66873,66893) = 31 × 222911 × 1511 × 4431
LCM(66873,66893) = 4473335589