GCF and LCM Calculator Logo

What is the Least Common Multiple of 55060 and 55069?

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 55060 and 55069 is 3032099140.

LCM(55060,55069) = 3032099140

LCM Calculator and
and

Least Common Multiple of 55060 and 55069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55060 and 55069, than apply into the LCM equation.

GCF(55060,55069) = 1
LCM(55060,55069) = ( 55060 × 55069) / 1
LCM(55060,55069) = 3032099140 / 1
LCM(55060,55069) = 3032099140

Least Common Multiple (LCM) of 55060 and 55069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55060 and 55069. First we will calculate the prime factors of 55060 and 55069.

Prime Factorization of 55060

Prime factors of 55060 are 2, 5, 2753. Prime factorization of 55060 in exponential form is:

55060 = 22 × 51 × 27531

Prime Factorization of 55069

Prime factors of 55069 are 7, 7867. Prime factorization of 55069 in exponential form is:

55069 = 71 × 78671

Now multiplying the highest exponent prime factors to calculate the LCM of 55060 and 55069.

LCM(55060,55069) = 22 × 51 × 27531 × 71 × 78671
LCM(55060,55069) = 3032099140