What is the Least Common Multiple of 55038 and 55044?

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 55038 and 55044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55038 and 55044, than apply into the LCM equation.

GCF(55038,55044) = 6
LCM(55038,55044) = ( 55038 × 55044) / 6
LCM(55038,55044) = 3029511672 / 6
LCM(55038,55044) = 504918612

Least Common Multiple (LCM) of 55038 and 55044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55038 and 55044. First we will calculate the prime factors of 55038 and 55044.

Prime Factorization of 55038

Prime Factorization of 55044

Now multiplying the highest exponent prime factors to calculate the LCM of 55038 and 55044.

LCM(55038,55044) = 2² × 3² × 9173¹ × 11¹ × 139¹
LCM(55038,55044) = 504918612