What is the Least Common Multiple of 4019 and 4037?

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 4019 and 4037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4019 and 4037, than apply into the LCM equation.

GCF(4019,4037) = 1
LCM(4019,4037) = ( 4019 × 4037) / 1
LCM(4019,4037) = 16224703 / 1
LCM(4019,4037) = 16224703

Least Common Multiple (LCM) of 4019 and 4037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4019 and 4037. First we will calculate the prime factors of 4019 and 4037.

Prime Factorization of 4019

Prime Factorization of 4037

Now multiplying the highest exponent prime factors to calculate the LCM of 4019 and 4037.

LCM(4019,4037) = 4019¹ × 11¹ × 367¹
LCM(4019,4037) = 16224703