What is the Least Common Multiple of 42585 and 42594?

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 42585 and 42594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42585 and 42594, than apply into the LCM equation.

GCF(42585,42594) = 3
LCM(42585,42594) = ( 42585 × 42594) / 3
LCM(42585,42594) = 1813865490 / 3
LCM(42585,42594) = 604621830

Least Common Multiple (LCM) of 42585 and 42594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42585 and 42594. First we will calculate the prime factors of 42585 and 42594.

Prime Factorization of 42585

Prime Factorization of 42594

Now multiplying the highest exponent prime factors to calculate the LCM of 42585 and 42594.

LCM(42585,42594) = 3¹ × 5¹ × 17¹ × 167¹ × 2¹ × 31¹ × 229¹
LCM(42585,42594) = 604621830