What is the Least Common Multiple of 83928 and 83946?

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 83928 and 83946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83928 and 83946, than apply into the LCM equation.

GCF(83928,83946) = 6
LCM(83928,83946) = ( 83928 × 83946) / 6
LCM(83928,83946) = 7045419888 / 6
LCM(83928,83946) = 1174236648

Least Common Multiple (LCM) of 83928 and 83946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83928 and 83946. First we will calculate the prime factors of 83928 and 83946.

Prime Factorization of 83928

Prime Factorization of 83946

Now multiplying the highest exponent prime factors to calculate the LCM of 83928 and 83946.

LCM(83928,83946) = 2³ × 3¹ × 13¹ × 269¹ × 17¹ × 823¹
LCM(83928,83946) = 1174236648