What is the Least Common Multiple of 2019 and 2037?

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 2019 and 2037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2019 and 2037, than apply into the LCM equation.

GCF(2019,2037) = 3
LCM(2019,2037) = ( 2019 × 2037) / 3
LCM(2019,2037) = 4112703 / 3
LCM(2019,2037) = 1370901

Least Common Multiple (LCM) of 2019 and 2037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2019 and 2037. First we will calculate the prime factors of 2019 and 2037.

Prime Factorization of 2019

Prime Factorization of 2037

Now multiplying the highest exponent prime factors to calculate the LCM of 2019 and 2037.

LCM(2019,2037) = 3¹ × 673¹ × 7¹ × 97¹
LCM(2019,2037) = 1370901