GCF and LCM Calculator Logo

What is the Least Common Multiple of 2873 and 2889?

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 2873 and 2889 is 8300097.

LCM(2873,2889) = 8300097

LCM Calculator and
and

Least Common Multiple of 2873 and 2889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2873 and 2889, than apply into the LCM equation.

GCF(2873,2889) = 1
LCM(2873,2889) = ( 2873 × 2889) / 1
LCM(2873,2889) = 8300097 / 1
LCM(2873,2889) = 8300097

Least Common Multiple (LCM) of 2873 and 2889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2873 and 2889. First we will calculate the prime factors of 2873 and 2889.

Prime Factorization of 2873

Prime factors of 2873 are 13, 17. Prime factorization of 2873 in exponential form is:

2873 = 132 × 171

Prime Factorization of 2889

Prime factors of 2889 are 3, 107. Prime factorization of 2889 in exponential form is:

2889 = 33 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 2873 and 2889.

LCM(2873,2889) = 132 × 171 × 33 × 1071
LCM(2873,2889) = 8300097