What is the Least Common Multiple of 57585 and 57599?

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 57585 and 57599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57585 and 57599, than apply into the LCM equation.

GCF(57585,57599) = 1
LCM(57585,57599) = ( 57585 × 57599) / 1
LCM(57585,57599) = 3316838415 / 1
LCM(57585,57599) = 3316838415

Least Common Multiple (LCM) of 57585 and 57599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57585 and 57599. First we will calculate the prime factors of 57585 and 57599.

Prime Factorization of 57585

Prime Factorization of 57599

Now multiplying the highest exponent prime factors to calculate the LCM of 57585 and 57599.

LCM(57585,57599) = 3¹ × 5¹ × 11¹ × 349¹ × 239¹ × 241¹
LCM(57585,57599) = 3316838415