What is the Least Common Multiple of 18564 and 18573?

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 18564 and 18573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18564 and 18573, than apply into the LCM equation.

GCF(18564,18573) = 3
LCM(18564,18573) = ( 18564 × 18573) / 3
LCM(18564,18573) = 344789172 / 3
LCM(18564,18573) = 114929724

Least Common Multiple (LCM) of 18564 and 18573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18564 and 18573. First we will calculate the prime factors of 18564 and 18573.

Prime Factorization of 18564

Prime Factorization of 18573

Now multiplying the highest exponent prime factors to calculate the LCM of 18564 and 18573.

LCM(18564,18573) = 2² × 3¹ × 7¹ × 13¹ × 17¹ × 41¹ × 151¹
LCM(18564,18573) = 114929724