What is the Least Common Multiple of 6004 and 6013?

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 6013 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 6013, than apply into the LCM equation.

GCF(6004,6013) = 1
LCM(6004,6013) = ( 6004 × 6013) / 1
LCM(6004,6013) = 36102052 / 1
LCM(6004,6013) = 36102052

Least Common Multiple (LCM) of 6004 and 6013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6004 and 6013. First we will calculate the prime factors of 6004 and 6013.

Prime Factorization of 6004

Prime Factorization of 6013

Now multiplying the highest exponent prime factors to calculate the LCM of 6004 and 6013.

LCM(6004,6013) = 2² × 19¹ × 79¹ × 7¹ × 859¹
LCM(6004,6013) = 36102052