What is the Least Common Multiple of 32038 and 32044?

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 32038 and 32044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32038 and 32044, than apply into the LCM equation.

GCF(32038,32044) = 2
LCM(32038,32044) = ( 32038 × 32044) / 2
LCM(32038,32044) = 1026625672 / 2
LCM(32038,32044) = 513312836

Least Common Multiple (LCM) of 32038 and 32044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32038 and 32044. First we will calculate the prime factors of 32038 and 32044.

Prime Factorization of 32038

Prime Factorization of 32044

Now multiplying the highest exponent prime factors to calculate the LCM of 32038 and 32044.

LCM(32038,32044) = 2² × 83¹ × 193¹ × 8011¹
LCM(32038,32044) = 513312836