What is the Least Common Multiple of 80928 and 80935?

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 80928 and 80935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80928 and 80935, than apply into the LCM equation.

GCF(80928,80935) = 1
LCM(80928,80935) = ( 80928 × 80935) / 1
LCM(80928,80935) = 6549907680 / 1
LCM(80928,80935) = 6549907680

Least Common Multiple (LCM) of 80928 and 80935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80928 and 80935. First we will calculate the prime factors of 80928 and 80935.

Prime Factorization of 80928

Prime Factorization of 80935

Now multiplying the highest exponent prime factors to calculate the LCM of 80928 and 80935.

LCM(80928,80935) = 2⁵ × 3² × 281¹ × 5¹ × 16187¹
LCM(80928,80935) = 6549907680