What is the Least Common Multiple of 4019 and 4036?

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 4036 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 4036, than apply into the LCM equation.

GCF(4019,4036) = 1
LCM(4019,4036) = ( 4019 × 4036) / 1
LCM(4019,4036) = 16220684 / 1
LCM(4019,4036) = 16220684

Least Common Multiple (LCM) of 4019 and 4036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4019 and 4036. First we will calculate the prime factors of 4019 and 4036.

Prime Factorization of 4019

Prime Factorization of 4036

Now multiplying the highest exponent prime factors to calculate the LCM of 4019 and 4036.

LCM(4019,4036) = 4019¹ × 2² × 1009¹
LCM(4019,4036) = 16220684