GCF and LCM Calculator Logo

What is the Least Common Multiple of 55096 and 55109?

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 55096 and 55109 is 3036285464.

LCM(55096,55109) = 3036285464

LCM Calculator and
and

Least Common Multiple of 55096 and 55109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55096 and 55109, than apply into the LCM equation.

GCF(55096,55109) = 1
LCM(55096,55109) = ( 55096 × 55109) / 1
LCM(55096,55109) = 3036285464 / 1
LCM(55096,55109) = 3036285464

Least Common Multiple (LCM) of 55096 and 55109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55096 and 55109. First we will calculate the prime factors of 55096 and 55109.

Prime Factorization of 55096

Prime factors of 55096 are 2, 71, 97. Prime factorization of 55096 in exponential form is:

55096 = 23 × 711 × 971

Prime Factorization of 55109

Prime factors of 55109 are 55109. Prime factorization of 55109 in exponential form is:

55109 = 551091

Now multiplying the highest exponent prime factors to calculate the LCM of 55096 and 55109.

LCM(55096,55109) = 23 × 711 × 971 × 551091
LCM(55096,55109) = 3036285464