What is the Least Common Multiple of 84585 and 84594?

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 84585 and 84594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84585 and 84594, than apply into the LCM equation.

GCF(84585,84594) = 3
LCM(84585,84594) = ( 84585 × 84594) / 3
LCM(84585,84594) = 7155383490 / 3
LCM(84585,84594) = 2385127830

Least Common Multiple (LCM) of 84585 and 84594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84585 and 84594. First we will calculate the prime factors of 84585 and 84594.

Prime Factorization of 84585

Prime Factorization of 84594

Now multiplying the highest exponent prime factors to calculate the LCM of 84585 and 84594.

LCM(84585,84594) = 3¹ × 5¹ × 5639¹ × 2¹ × 23¹ × 613¹
LCM(84585,84594) = 2385127830