What is the Least Common Multiple of 89012 and 89028?

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 89012 and 89028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89012 and 89028, than apply into the LCM equation.

GCF(89012,89028) = 4
LCM(89012,89028) = ( 89012 × 89028) / 4
LCM(89012,89028) = 7924560336 / 4
LCM(89012,89028) = 1981140084

Least Common Multiple (LCM) of 89012 and 89028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89012 and 89028. First we will calculate the prime factors of 89012 and 89028.

Prime Factorization of 89012

Prime Factorization of 89028

Now multiplying the highest exponent prime factors to calculate the LCM of 89012 and 89028.

LCM(89012,89028) = 2² × 7¹ × 11¹ × 17² × 3² × 2473¹
LCM(89012,89028) = 1981140084