What is the Least Common Multiple of 9579 and 9588?

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 9579 and 9588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9579 and 9588, than apply into the LCM equation.

GCF(9579,9588) = 3
LCM(9579,9588) = ( 9579 × 9588) / 3
LCM(9579,9588) = 91843452 / 3
LCM(9579,9588) = 30614484

Least Common Multiple (LCM) of 9579 and 9588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9579 and 9588. First we will calculate the prime factors of 9579 and 9588.

Prime Factorization of 9579

Prime Factorization of 9588

Now multiplying the highest exponent prime factors to calculate the LCM of 9579 and 9588.

LCM(9579,9588) = 3¹ × 31¹ × 103¹ × 2² × 17¹ × 47¹
LCM(9579,9588) = 30614484