What is the Least Common Multiple of 96928 and 96948?

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 96928 and 96948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96928 and 96948, than apply into the LCM equation.

GCF(96928,96948) = 4
LCM(96928,96948) = ( 96928 × 96948) / 4
LCM(96928,96948) = 9396975744 / 4
LCM(96928,96948) = 2349243936

Least Common Multiple (LCM) of 96928 and 96948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96928 and 96948. First we will calculate the prime factors of 96928 and 96948.

Prime Factorization of 96928

Prime Factorization of 96948

Now multiplying the highest exponent prime factors to calculate the LCM of 96928 and 96948.

LCM(96928,96948) = 2⁵ × 13¹ × 233¹ × 3² × 2693¹
LCM(96928,96948) = 2349243936