GCF and LCM Calculator Logo

What is the Least Common Multiple of 2789 and 2809?

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 2789 and 2809 is 7834301.

LCM(2789,2809) = 7834301

LCM Calculator and
and

Least Common Multiple of 2789 and 2809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2789 and 2809, than apply into the LCM equation.

GCF(2789,2809) = 1
LCM(2789,2809) = ( 2789 × 2809) / 1
LCM(2789,2809) = 7834301 / 1
LCM(2789,2809) = 7834301

Least Common Multiple (LCM) of 2789 and 2809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2789 and 2809. First we will calculate the prime factors of 2789 and 2809.

Prime Factorization of 2789

Prime factors of 2789 are 2789. Prime factorization of 2789 in exponential form is:

2789 = 27891

Prime Factorization of 2809

Prime factors of 2809 are 53. Prime factorization of 2809 in exponential form is:

2809 = 532

Now multiplying the highest exponent prime factors to calculate the LCM of 2789 and 2809.

LCM(2789,2809) = 27891 × 532
LCM(2789,2809) = 7834301