What is the Least Common Multiple of 14504 and 14509?

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 14509 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 14509, than apply into the LCM equation.

GCF(14504,14509) = 1
LCM(14504,14509) = ( 14504 × 14509) / 1
LCM(14504,14509) = 210438536 / 1
LCM(14504,14509) = 210438536

Least Common Multiple (LCM) of 14504 and 14509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14504 and 14509. First we will calculate the prime factors of 14504 and 14509.

Prime Factorization of 14504

Prime Factorization of 14509

Now multiplying the highest exponent prime factors to calculate the LCM of 14504 and 14509.

LCM(14504,14509) = 2³ × 7² × 37¹ × 11¹ × 1319¹
LCM(14504,14509) = 210438536