What is the Least Common Multiple of 55044 and 55057?

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 of 55044 and 55057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55044 and 55057, than apply into the LCM equation.

GCF(55044,55057) = 1
LCM(55044,55057) = ( 55044 × 55057) / 1
LCM(55044,55057) = 3030557508 / 1
LCM(55044,55057) = 3030557508

Least Common Multiple (LCM) of 55044 and 55057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55044 and 55057. First we will calculate the prime factors of 55044 and 55057.

Prime Factorization of 55044

Prime Factorization of 55057

Now multiplying the highest exponent prime factors to calculate the LCM of 55044 and 55057.

LCM(55044,55057) = 2² × 3² × 11¹ × 139¹ × 55057¹
LCM(55044,55057) = 3030557508