What is the Least Common Multiple of 75006 and 75016?

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 75006 and 75016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75006 and 75016, than apply into the LCM equation.

GCF(75006,75016) = 2
LCM(75006,75016) = ( 75006 × 75016) / 2
LCM(75006,75016) = 5626650096 / 2
LCM(75006,75016) = 2813325048

Least Common Multiple (LCM) of 75006 and 75016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75006 and 75016. First we will calculate the prime factors of 75006 and 75016.

Prime Factorization of 75006

Prime Factorization of 75016

Now multiplying the highest exponent prime factors to calculate the LCM of 75006 and 75016.

LCM(75006,75016) = 2³ × 3⁴ × 463¹ × 9377¹
LCM(75006,75016) = 2813325048