What is the Least Common Multiple of 8928 and 8946?

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 8928 and 8946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8928 and 8946, than apply into the LCM equation.

GCF(8928,8946) = 18
LCM(8928,8946) = ( 8928 × 8946) / 18
LCM(8928,8946) = 79869888 / 18
LCM(8928,8946) = 4437216

Least Common Multiple (LCM) of 8928 and 8946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8928 and 8946. First we will calculate the prime factors of 8928 and 8946.

Prime Factorization of 8928

Prime Factorization of 8946

Now multiplying the highest exponent prime factors to calculate the LCM of 8928 and 8946.

LCM(8928,8946) = 2⁵ × 3² × 31¹ × 7¹ × 71¹
LCM(8928,8946) = 4437216