What is the Least Common Multiple of 72004 and 72016?

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 72004 and 72016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72004 and 72016, than apply into the LCM equation.

GCF(72004,72016) = 4
LCM(72004,72016) = ( 72004 × 72016) / 4
LCM(72004,72016) = 5185440064 / 4
LCM(72004,72016) = 1296360016

Least Common Multiple (LCM) of 72004 and 72016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72004 and 72016. First we will calculate the prime factors of 72004 and 72016.

Prime Factorization of 72004

Prime Factorization of 72016

Now multiplying the highest exponent prime factors to calculate the LCM of 72004 and 72016.

LCM(72004,72016) = 2⁴ × 47¹ × 383¹ × 7¹ × 643¹
LCM(72004,72016) = 1296360016