What is the Least Common Multiple of 48585 and 48594?

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 48585 and 48594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48585 and 48594, than apply into the LCM equation.

GCF(48585,48594) = 3
LCM(48585,48594) = ( 48585 × 48594) / 3
LCM(48585,48594) = 2360939490 / 3
LCM(48585,48594) = 786979830

Least Common Multiple (LCM) of 48585 and 48594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48585 and 48594. First we will calculate the prime factors of 48585 and 48594.

Prime Factorization of 48585

Prime Factorization of 48594

Now multiplying the highest exponent prime factors to calculate the LCM of 48585 and 48594.

LCM(48585,48594) = 3¹ × 5¹ × 41¹ × 79¹ × 2¹ × 7¹ × 13¹ × 89¹
LCM(48585,48594) = 786979830