What is the Least Common Multiple of 45589 and 45594?

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 45589 and 45594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45589 and 45594, than apply into the LCM equation.

GCF(45589,45594) = 1
LCM(45589,45594) = ( 45589 × 45594) / 1
LCM(45589,45594) = 2078584866 / 1
LCM(45589,45594) = 2078584866

Least Common Multiple (LCM) of 45589 and 45594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45589 and 45594. First we will calculate the prime factors of 45589 and 45594.

Prime Factorization of 45589

Prime Factorization of 45594

Now multiplying the highest exponent prime factors to calculate the LCM of 45589 and 45594.

LCM(45589,45594) = 45589¹ × 2¹ × 3² × 17¹ × 149¹
LCM(45589,45594) = 2078584866