What is the Least Common Multiple of 30575 and 30584?

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 30575 and 30584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30575 and 30584, than apply into the LCM equation.

GCF(30575,30584) = 1
LCM(30575,30584) = ( 30575 × 30584) / 1
LCM(30575,30584) = 935105800 / 1
LCM(30575,30584) = 935105800

Least Common Multiple (LCM) of 30575 and 30584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30575 and 30584. First we will calculate the prime factors of 30575 and 30584.

Prime Factorization of 30575

Prime Factorization of 30584

Now multiplying the highest exponent prime factors to calculate the LCM of 30575 and 30584.

LCM(30575,30584) = 5² × 1223¹ × 2³ × 3823¹
LCM(30575,30584) = 935105800