What is the Least Common Multiple of 57899 and 57909?

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 57899 and 57909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57899 and 57909, than apply into the LCM equation.

GCF(57899,57909) = 1
LCM(57899,57909) = ( 57899 × 57909) / 1
LCM(57899,57909) = 3352873191 / 1
LCM(57899,57909) = 3352873191

Least Common Multiple (LCM) of 57899 and 57909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57899 and 57909. First we will calculate the prime factors of 57899 and 57909.

Prime Factorization of 57899

Prime Factorization of 57909

Now multiplying the highest exponent prime factors to calculate the LCM of 57899 and 57909.

LCM(57899,57909) = 57899¹ × 3¹ × 97¹ × 199¹
LCM(57899,57909) = 3352873191