What is the Least Common Multiple of 15573 and 15579?

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 15573 and 15579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15573 and 15579, than apply into the LCM equation.

GCF(15573,15579) = 3
LCM(15573,15579) = ( 15573 × 15579) / 3
LCM(15573,15579) = 242611767 / 3
LCM(15573,15579) = 80870589

Least Common Multiple (LCM) of 15573 and 15579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15573 and 15579. First we will calculate the prime factors of 15573 and 15579.

Prime Factorization of 15573

Prime Factorization of 15579

Now multiplying the highest exponent prime factors to calculate the LCM of 15573 and 15579.

LCM(15573,15579) = 3³ × 29¹ × 179¹ × 577¹
LCM(15573,15579) = 80870589