What is the Least Common Multiple of 14496 and 14504?

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 14496 and 14504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14496 and 14504, than apply into the LCM equation.

GCF(14496,14504) = 8
LCM(14496,14504) = ( 14496 × 14504) / 8
LCM(14496,14504) = 210249984 / 8
LCM(14496,14504) = 26281248

Least Common Multiple (LCM) of 14496 and 14504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14496 and 14504. First we will calculate the prime factors of 14496 and 14504.

Prime Factorization of 14496

Prime Factorization of 14504

Now multiplying the highest exponent prime factors to calculate the LCM of 14496 and 14504.

LCM(14496,14504) = 2⁵ × 3¹ × 151¹ × 7² × 37¹
LCM(14496,14504) = 26281248