What is the Least Common Multiple of 44018 and 44031?

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 44018 and 44031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44018 and 44031, than apply into the LCM equation.

GCF(44018,44031) = 13
LCM(44018,44031) = ( 44018 × 44031) / 13
LCM(44018,44031) = 1938156558 / 13
LCM(44018,44031) = 149088966

Least Common Multiple (LCM) of 44018 and 44031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44018 and 44031. First we will calculate the prime factors of 44018 and 44031.

Prime Factorization of 44018

Prime Factorization of 44031

Now multiplying the highest exponent prime factors to calculate the LCM of 44018 and 44031.

LCM(44018,44031) = 2¹ × 13¹ × 1693¹ × 3¹ × 1129¹
LCM(44018,44031) = 149088966