What is the Least Common Multiple of 8914 and 8928?

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 8914 and 8928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8914 and 8928, than apply into the LCM equation.

GCF(8914,8928) = 2
LCM(8914,8928) = ( 8914 × 8928) / 2
LCM(8914,8928) = 79584192 / 2
LCM(8914,8928) = 39792096

Least Common Multiple (LCM) of 8914 and 8928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8914 and 8928. First we will calculate the prime factors of 8914 and 8928.

Prime Factorization of 8914

Prime Factorization of 8928

Now multiplying the highest exponent prime factors to calculate the LCM of 8914 and 8928.

LCM(8914,8928) = 2⁵ × 4457¹ × 3² × 31¹
LCM(8914,8928) = 39792096