What is the Least Common Multiple of 44019 and 44029?

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 44019 and 44029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44019 and 44029, than apply into the LCM equation.

GCF(44019,44029) = 1
LCM(44019,44029) = ( 44019 × 44029) / 1
LCM(44019,44029) = 1938112551 / 1
LCM(44019,44029) = 1938112551

Least Common Multiple (LCM) of 44019 and 44029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44019 and 44029. First we will calculate the prime factors of 44019 and 44029.

Prime Factorization of 44019

Prime Factorization of 44029

Now multiplying the highest exponent prime factors to calculate the LCM of 44019 and 44029.

LCM(44019,44029) = 3² × 67¹ × 73¹ × 44029¹
LCM(44019,44029) = 1938112551