What is the Least Common Multiple of 14544 and 14561?

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 14544 and 14561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14544 and 14561, than apply into the LCM equation.

GCF(14544,14561) = 1
LCM(14544,14561) = ( 14544 × 14561) / 1
LCM(14544,14561) = 211775184 / 1
LCM(14544,14561) = 211775184

Least Common Multiple (LCM) of 14544 and 14561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14544 and 14561. First we will calculate the prime factors of 14544 and 14561.

Prime Factorization of 14544

Prime Factorization of 14561

Now multiplying the highest exponent prime factors to calculate the LCM of 14544 and 14561.

LCM(14544,14561) = 2⁴ × 3² × 101¹ × 14561¹
LCM(14544,14561) = 211775184