What is the Least Common Multiple of 17568 and 17579?

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 17568 and 17579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17568 and 17579, than apply into the LCM equation.

GCF(17568,17579) = 1
LCM(17568,17579) = ( 17568 × 17579) / 1
LCM(17568,17579) = 308827872 / 1
LCM(17568,17579) = 308827872

Least Common Multiple (LCM) of 17568 and 17579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17568 and 17579. First we will calculate the prime factors of 17568 and 17579.

Prime Factorization of 17568

Prime Factorization of 17579

Now multiplying the highest exponent prime factors to calculate the LCM of 17568 and 17579.

LCM(17568,17579) = 2⁵ × 3² × 61¹ × 17579¹
LCM(17568,17579) = 308827872