What is the Least Common Multiple of 58575 and 58584?

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 58575 and 58584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58575 and 58584, than apply into the LCM equation.

GCF(58575,58584) = 3
LCM(58575,58584) = ( 58575 × 58584) / 3
LCM(58575,58584) = 3431557800 / 3
LCM(58575,58584) = 1143852600

Least Common Multiple (LCM) of 58575 and 58584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58575 and 58584. First we will calculate the prime factors of 58575 and 58584.

Prime Factorization of 58575

Prime Factorization of 58584

Now multiplying the highest exponent prime factors to calculate the LCM of 58575 and 58584.

LCM(58575,58584) = 3¹ × 5² × 11¹ × 71¹ × 2³ × 2441¹
LCM(58575,58584) = 1143852600