What is the Least Common Multiple of 96912 and 96928?

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 96912 and 96928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96912 and 96928, than apply into the LCM equation.

GCF(96912,96928) = 16
LCM(96912,96928) = ( 96912 × 96928) / 16
LCM(96912,96928) = 9393486336 / 16
LCM(96912,96928) = 587092896

Least Common Multiple (LCM) of 96912 and 96928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96912 and 96928. First we will calculate the prime factors of 96912 and 96928.

Prime Factorization of 96912

Prime Factorization of 96928

Now multiplying the highest exponent prime factors to calculate the LCM of 96912 and 96928.

LCM(96912,96928) = 2⁵ × 3² × 673¹ × 13¹ × 233¹
LCM(96912,96928) = 587092896