What is the Least Common Multiple of 55032 and 55038?

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 55032 and 55038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55032 and 55038, than apply into the LCM equation.

GCF(55032,55038) = 6
LCM(55032,55038) = ( 55032 × 55038) / 6
LCM(55032,55038) = 3028851216 / 6
LCM(55032,55038) = 504808536

Least Common Multiple (LCM) of 55032 and 55038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55032 and 55038. First we will calculate the prime factors of 55032 and 55038.

Prime Factorization of 55032

Prime Factorization of 55038

Now multiplying the highest exponent prime factors to calculate the LCM of 55032 and 55038.

LCM(55032,55038) = 2³ × 3¹ × 2293¹ × 9173¹
LCM(55032,55038) = 504808536