What is the Least Common Multiple of 57584 and 57594?

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 57584 and 57594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57584 and 57594, than apply into the LCM equation.

GCF(57584,57594) = 2
LCM(57584,57594) = ( 57584 × 57594) / 2
LCM(57584,57594) = 3316492896 / 2
LCM(57584,57594) = 1658246448

Least Common Multiple (LCM) of 57584 and 57594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57584 and 57594. First we will calculate the prime factors of 57584 and 57594.

Prime Factorization of 57584

Prime Factorization of 57594

Now multiplying the highest exponent prime factors to calculate the LCM of 57584 and 57594.

LCM(57584,57594) = 2⁴ × 59¹ × 61¹ × 3¹ × 29¹ × 331¹
LCM(57584,57594) = 1658246448