What is the Least Common Multiple of 14848 and 14857?

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 14848 and 14857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14848 and 14857, than apply into the LCM equation.

GCF(14848,14857) = 1
LCM(14848,14857) = ( 14848 × 14857) / 1
LCM(14848,14857) = 220596736 / 1
LCM(14848,14857) = 220596736

Least Common Multiple (LCM) of 14848 and 14857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14848 and 14857. First we will calculate the prime factors of 14848 and 14857.

Prime Factorization of 14848

Prime Factorization of 14857

Now multiplying the highest exponent prime factors to calculate the LCM of 14848 and 14857.

LCM(14848,14857) = 2⁹ × 29¹ × 83¹ × 179¹
LCM(14848,14857) = 220596736