What is the Least Common Multiple of 6004 and 6011?

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 6011 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 6011, than apply into the LCM equation.

GCF(6004,6011) = 1
LCM(6004,6011) = ( 6004 × 6011) / 1
LCM(6004,6011) = 36090044 / 1
LCM(6004,6011) = 36090044

Least Common Multiple (LCM) of 6004 and 6011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6004 and 6011. First we will calculate the prime factors of 6004 and 6011.

Prime Factorization of 6004

Prime Factorization of 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 6004 and 6011.

LCM(6004,6011) = 2² × 19¹ × 79¹ × 6011¹
LCM(6004,6011) = 36090044