GCF and LCM Calculator Logo

What is the Least Common Multiple of 54873 and 54889?

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 54873 and 54889 is 3011924097.

LCM(54873,54889) = 3011924097

LCM Calculator and
and

Least Common Multiple of 54873 and 54889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54873 and 54889, than apply into the LCM equation.

GCF(54873,54889) = 1
LCM(54873,54889) = ( 54873 × 54889) / 1
LCM(54873,54889) = 3011924097 / 1
LCM(54873,54889) = 3011924097

Least Common Multiple (LCM) of 54873 and 54889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54873 and 54889. First we will calculate the prime factors of 54873 and 54889.

Prime Factorization of 54873

Prime factors of 54873 are 3, 7, 13, 67. Prime factorization of 54873 in exponential form is:

54873 = 32 × 71 × 131 × 671

Prime Factorization of 54889

Prime factors of 54889 are 131, 419. Prime factorization of 54889 in exponential form is:

54889 = 1311 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 54873 and 54889.

LCM(54873,54889) = 32 × 71 × 131 × 671 × 1311 × 4191
LCM(54873,54889) = 3011924097