What is the Least Common Multiple of 3006 and 3019?

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 3006 and 3019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3006 and 3019, than apply into the LCM equation.

GCF(3006,3019) = 1
LCM(3006,3019) = ( 3006 × 3019) / 1
LCM(3006,3019) = 9075114 / 1
LCM(3006,3019) = 9075114

Least Common Multiple (LCM) of 3006 and 3019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3006 and 3019. First we will calculate the prime factors of 3006 and 3019.

Prime Factorization of 3006

Prime Factorization of 3019

Now multiplying the highest exponent prime factors to calculate the LCM of 3006 and 3019.

LCM(3006,3019) = 2¹ × 3² × 167¹ × 3019¹
LCM(3006,3019) = 9075114