What is the Least Common Multiple of 84579 and 84585?

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 84579 and 84585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84579 and 84585, than apply into the LCM equation.

GCF(84579,84585) = 3
LCM(84579,84585) = ( 84579 × 84585) / 3
LCM(84579,84585) = 7154114715 / 3
LCM(84579,84585) = 2384704905

Least Common Multiple (LCM) of 84579 and 84585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84579 and 84585. First we will calculate the prime factors of 84579 and 84585.

Prime Factorization of 84579

Prime Factorization of 84585

Now multiplying the highest exponent prime factors to calculate the LCM of 84579 and 84585.

LCM(84579,84585) = 3¹ × 11² × 233¹ × 5¹ × 5639¹
LCM(84579,84585) = 2384704905