What is the Least Common Multiple of 96928 and 96946?

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 96946 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 96946, than apply into the LCM equation.

GCF(96928,96946) = 2
LCM(96928,96946) = ( 96928 × 96946) / 2
LCM(96928,96946) = 9396781888 / 2
LCM(96928,96946) = 4698390944

Least Common Multiple (LCM) of 96928 and 96946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96928 and 96946. First we will calculate the prime factors of 96928 and 96946.

Prime Factorization of 96928

Prime Factorization of 96946

Now multiplying the highest exponent prime factors to calculate the LCM of 96928 and 96946.

LCM(96928,96946) = 2⁵ × 13¹ × 233¹ × 48473¹
LCM(96928,96946) = 4698390944