What is the Least Common Multiple of 18914 and 18928?

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 18914 and 18928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18914 and 18928, than apply into the LCM equation.

GCF(18914,18928) = 14
LCM(18914,18928) = ( 18914 × 18928) / 14
LCM(18914,18928) = 358004192 / 14
LCM(18914,18928) = 25571728

Least Common Multiple (LCM) of 18914 and 18928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18914 and 18928. First we will calculate the prime factors of 18914 and 18928.

Prime Factorization of 18914

Prime Factorization of 18928

Now multiplying the highest exponent prime factors to calculate the LCM of 18914 and 18928.

LCM(18914,18928) = 2⁴ × 7² × 193¹ × 13²
LCM(18914,18928) = 25571728