What is the Least Common Multiple of 18504 and 18519?

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 18504 and 18519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18504 and 18519, than apply into the LCM equation.

GCF(18504,18519) = 3
LCM(18504,18519) = ( 18504 × 18519) / 3
LCM(18504,18519) = 342675576 / 3
LCM(18504,18519) = 114225192

Least Common Multiple (LCM) of 18504 and 18519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18504 and 18519. First we will calculate the prime factors of 18504 and 18519.

Prime Factorization of 18504

Prime Factorization of 18519

Now multiplying the highest exponent prime factors to calculate the LCM of 18504 and 18519.

LCM(18504,18519) = 2³ × 3² × 257¹ × 6173¹
LCM(18504,18519) = 114225192