What is the Least Common Multiple of 78912 and 78928?

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 78912 and 78928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78912 and 78928, than apply into the LCM equation.

GCF(78912,78928) = 16
LCM(78912,78928) = ( 78912 × 78928) / 16
LCM(78912,78928) = 6228366336 / 16
LCM(78912,78928) = 389272896

Least Common Multiple (LCM) of 78912 and 78928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78912 and 78928. First we will calculate the prime factors of 78912 and 78928.

Prime Factorization of 78912

Prime Factorization of 78928

Now multiplying the highest exponent prime factors to calculate the LCM of 78912 and 78928.

LCM(78912,78928) = 2⁶ × 3² × 137¹ × 4933¹
LCM(78912,78928) = 389272896