What is the Least Common Multiple of 64012 and 64028?

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 64012 and 64028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64012 and 64028, than apply into the LCM equation.

GCF(64012,64028) = 4
LCM(64012,64028) = ( 64012 × 64028) / 4
LCM(64012,64028) = 4098560336 / 4
LCM(64012,64028) = 1024640084

Least Common Multiple (LCM) of 64012 and 64028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64012 and 64028. First we will calculate the prime factors of 64012 and 64028.

Prime Factorization of 64012

Prime Factorization of 64028

Now multiplying the highest exponent prime factors to calculate the LCM of 64012 and 64028.

LCM(64012,64028) = 2² × 13¹ × 1231¹ × 16007¹
LCM(64012,64028) = 1024640084