What is the Least Common Multiple of 80917 and 80928?

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 80917 and 80928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80917 and 80928, than apply into the LCM equation.

GCF(80917,80928) = 1
LCM(80917,80928) = ( 80917 × 80928) / 1
LCM(80917,80928) = 6548450976 / 1
LCM(80917,80928) = 6548450976

Least Common Multiple (LCM) of 80917 and 80928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80917 and 80928. First we will calculate the prime factors of 80917 and 80928.

Prime Factorization of 80917

Prime Factorization of 80928

Now multiplying the highest exponent prime factors to calculate the LCM of 80917 and 80928.

LCM(80917,80928) = 80917¹ × 2⁵ × 3² × 281¹
LCM(80917,80928) = 6548450976