What is the Least Common Multiple of 14504 and 14519?

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 14504 and 14519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14504 and 14519, than apply into the LCM equation.

GCF(14504,14519) = 1
LCM(14504,14519) = ( 14504 × 14519) / 1
LCM(14504,14519) = 210583576 / 1
LCM(14504,14519) = 210583576

Least Common Multiple (LCM) of 14504 and 14519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14504 and 14519. First we will calculate the prime factors of 14504 and 14519.

Prime Factorization of 14504

Prime Factorization of 14519

Now multiplying the highest exponent prime factors to calculate the LCM of 14504 and 14519.

LCM(14504,14519) = 2³ × 7² × 37¹ × 14519¹
LCM(14504,14519) = 210583576