What is the Least Common Multiple of 75606 and 75619?

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 75606 and 75619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75606 and 75619, than apply into the LCM equation.

GCF(75606,75619) = 1
LCM(75606,75619) = ( 75606 × 75619) / 1
LCM(75606,75619) = 5717250114 / 1
LCM(75606,75619) = 5717250114

Least Common Multiple (LCM) of 75606 and 75619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75606 and 75619. First we will calculate the prime factors of 75606 and 75619.

Prime Factorization of 75606

Prime Factorization of 75619

Now multiplying the highest exponent prime factors to calculate the LCM of 75606 and 75619.

LCM(75606,75619) = 2¹ × 3¹ × 12601¹ × 75619¹
LCM(75606,75619) = 5717250114