What is the Least Common Multiple of 72015 and 72028?

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 72015 and 72028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72015 and 72028, than apply into the LCM equation.

GCF(72015,72028) = 1
LCM(72015,72028) = ( 72015 × 72028) / 1
LCM(72015,72028) = 5187096420 / 1
LCM(72015,72028) = 5187096420

Least Common Multiple (LCM) of 72015 and 72028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72015 and 72028. First we will calculate the prime factors of 72015 and 72028.

Prime Factorization of 72015

Prime Factorization of 72028

Now multiplying the highest exponent prime factors to calculate the LCM of 72015 and 72028.

LCM(72015,72028) = 3¹ × 5¹ × 4801¹ × 2² × 11¹ × 1637¹
LCM(72015,72028) = 5187096420