What is the Least Common Multiple of 6914 and 6928?

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 6914 and 6928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6914 and 6928, than apply into the LCM equation.

GCF(6914,6928) = 2
LCM(6914,6928) = ( 6914 × 6928) / 2
LCM(6914,6928) = 47900192 / 2
LCM(6914,6928) = 23950096

Least Common Multiple (LCM) of 6914 and 6928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6914 and 6928. First we will calculate the prime factors of 6914 and 6928.

Prime Factorization of 6914

Prime Factorization of 6928

Now multiplying the highest exponent prime factors to calculate the LCM of 6914 and 6928.

LCM(6914,6928) = 2⁴ × 3457¹ × 433¹
LCM(6914,6928) = 23950096