What is the Least Common Multiple of 6004 and 6022?

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 6004 and 6022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6004 and 6022, than apply into the LCM equation.

GCF(6004,6022) = 2
LCM(6004,6022) = ( 6004 × 6022) / 2
LCM(6004,6022) = 36156088 / 2
LCM(6004,6022) = 18078044

Least Common Multiple (LCM) of 6004 and 6022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6004 and 6022. First we will calculate the prime factors of 6004 and 6022.

Prime Factorization of 6004

Prime Factorization of 6022

Now multiplying the highest exponent prime factors to calculate the LCM of 6004 and 6022.

LCM(6004,6022) = 2² × 19¹ × 79¹ × 3011¹
LCM(6004,6022) = 18078044