What is the Least Common Multiple of 80914 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 80914 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 80914 and 80928, than apply into the LCM equation.

GCF(80914,80928) = 2
LCM(80914,80928) = ( 80914 × 80928) / 2
LCM(80914,80928) = 6548208192 / 2
LCM(80914,80928) = 3274104096

Least Common Multiple (LCM) of 80914 and 80928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80914 and 80928. First we will calculate the prime factors of 80914 and 80928.

Prime Factorization of 80914

Prime Factorization of 80928

Now multiplying the highest exponent prime factors to calculate the LCM of 80914 and 80928.

LCM(80914,80928) = 2⁵ × 23¹ × 1759¹ × 3² × 281¹
LCM(80914,80928) = 3274104096