GCF and LCM Calculator Logo

What is the Least Common Multiple of 55810 and 55819?

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 55810 and 55819 is 3115258390.

LCM(55810,55819) = 3115258390

LCM Calculator and
and

Least Common Multiple of 55810 and 55819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55810 and 55819, than apply into the LCM equation.

GCF(55810,55819) = 1
LCM(55810,55819) = ( 55810 × 55819) / 1
LCM(55810,55819) = 3115258390 / 1
LCM(55810,55819) = 3115258390

Least Common Multiple (LCM) of 55810 and 55819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55810 and 55819. First we will calculate the prime factors of 55810 and 55819.

Prime Factorization of 55810

Prime factors of 55810 are 2, 5, 5581. Prime factorization of 55810 in exponential form is:

55810 = 21 × 51 × 55811

Prime Factorization of 55819

Prime factors of 55819 are 55819. Prime factorization of 55819 in exponential form is:

55819 = 558191

Now multiplying the highest exponent prime factors to calculate the LCM of 55810 and 55819.

LCM(55810,55819) = 21 × 51 × 55811 × 558191
LCM(55810,55819) = 3115258390