What is the Least Common Multiple of 8012 and 8028?

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 8012 and 8028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8012 and 8028, than apply into the LCM equation.

GCF(8012,8028) = 4
LCM(8012,8028) = ( 8012 × 8028) / 4
LCM(8012,8028) = 64320336 / 4
LCM(8012,8028) = 16080084

Least Common Multiple (LCM) of 8012 and 8028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8012 and 8028. First we will calculate the prime factors of 8012 and 8028.

Prime Factorization of 8012

Prime Factorization of 8028

Now multiplying the highest exponent prime factors to calculate the LCM of 8012 and 8028.

LCM(8012,8028) = 2² × 2003¹ × 3² × 223¹
LCM(8012,8028) = 16080084