What is the Least Common Multiple of 40914 and 40928?

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 40914 and 40928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40914 and 40928, than apply into the LCM equation.

GCF(40914,40928) = 2
LCM(40914,40928) = ( 40914 × 40928) / 2
LCM(40914,40928) = 1674528192 / 2
LCM(40914,40928) = 837264096

Least Common Multiple (LCM) of 40914 and 40928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40914 and 40928. First we will calculate the prime factors of 40914 and 40928.

Prime Factorization of 40914

Prime Factorization of 40928

Now multiplying the highest exponent prime factors to calculate the LCM of 40914 and 40928.

LCM(40914,40928) = 2⁵ × 3² × 2273¹ × 1279¹
LCM(40914,40928) = 837264096