What is the Least Common Multiple of 28594 and 28611?

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 28594 and 28611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28594 and 28611, than apply into the LCM equation.

GCF(28594,28611) = 17
LCM(28594,28611) = ( 28594 × 28611) / 17
LCM(28594,28611) = 818102934 / 17
LCM(28594,28611) = 48123702

Least Common Multiple (LCM) of 28594 and 28611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28594 and 28611. First we will calculate the prime factors of 28594 and 28611.

Prime Factorization of 28594

Prime Factorization of 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 28594 and 28611.

LCM(28594,28611) = 2¹ × 17² × 29² × 3² × 11¹
LCM(28594,28611) = 48123702