What is the Least Common Multiple of 14832 and 14848?

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 14832 and 14848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14832 and 14848, than apply into the LCM equation.

GCF(14832,14848) = 16
LCM(14832,14848) = ( 14832 × 14848) / 16
LCM(14832,14848) = 220225536 / 16
LCM(14832,14848) = 13764096

Least Common Multiple (LCM) of 14832 and 14848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14832 and 14848. First we will calculate the prime factors of 14832 and 14848.

Prime Factorization of 14832

Prime Factorization of 14848

Now multiplying the highest exponent prime factors to calculate the LCM of 14832 and 14848.

LCM(14832,14848) = 2⁹ × 3² × 103¹ × 29¹
LCM(14832,14848) = 13764096