What is the Least Common Multiple of 96928 and 96932?

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 96932 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 96932, than apply into the LCM equation.

GCF(96928,96932) = 4
LCM(96928,96932) = ( 96928 × 96932) / 4
LCM(96928,96932) = 9395424896 / 4
LCM(96928,96932) = 2348856224

Least Common Multiple (LCM) of 96928 and 96932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96928 and 96932. First we will calculate the prime factors of 96928 and 96932.

Prime Factorization of 96928

Prime Factorization of 96932

Now multiplying the highest exponent prime factors to calculate the LCM of 96928 and 96932.

LCM(96928,96932) = 2⁵ × 13¹ × 233¹ × 11¹ × 2203¹
LCM(96928,96932) = 2348856224