What is the Least Common Multiple of 90579 and 90585?

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 90579 and 90585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90579 and 90585, than apply into the LCM equation.

GCF(90579,90585) = 3
LCM(90579,90585) = ( 90579 × 90585) / 3
LCM(90579,90585) = 8205098715 / 3
LCM(90579,90585) = 2735032905

Least Common Multiple (LCM) of 90579 and 90585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90579 and 90585. First we will calculate the prime factors of 90579 and 90585.

Prime Factorization of 90579

Prime Factorization of 90585

Now multiplying the highest exponent prime factors to calculate the LCM of 90579 and 90585.

LCM(90579,90585) = 3³ × 109¹ × 277¹ × 5¹ × 11¹ × 61¹
LCM(90579,90585) = 2735032905