What is the Least Common Multiple of 75006 and 75014?

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 75014 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 75014, than apply into the LCM equation.

GCF(75006,75014) = 2
LCM(75006,75014) = ( 75006 × 75014) / 2
LCM(75006,75014) = 5626500084 / 2
LCM(75006,75014) = 2813250042

Least Common Multiple (LCM) of 75006 and 75014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75006 and 75014. First we will calculate the prime factors of 75006 and 75014.

Prime Factorization of 75006

Prime Factorization of 75014

Now multiplying the highest exponent prime factors to calculate the LCM of 75006 and 75014.

LCM(75006,75014) = 2¹ × 3⁴ × 463¹ × 37507¹
LCM(75006,75014) = 2813250042