What is the Least Common Multiple of 72008 and 72027?

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 72008 and 72027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72008 and 72027, than apply into the LCM equation.

GCF(72008,72027) = 1
LCM(72008,72027) = ( 72008 × 72027) / 1
LCM(72008,72027) = 5186520216 / 1
LCM(72008,72027) = 5186520216

Least Common Multiple (LCM) of 72008 and 72027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72008 and 72027. First we will calculate the prime factors of 72008 and 72027.

Prime Factorization of 72008

Prime Factorization of 72027

Now multiplying the highest exponent prime factors to calculate the LCM of 72008 and 72027.

LCM(72008,72027) = 2³ × 9001¹ × 3² × 53¹ × 151¹
LCM(72008,72027) = 5186520216