What is the Least Common Multiple of 93828 and 93838?

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 93828 and 93838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93828 and 93838, than apply into the LCM equation.

GCF(93828,93838) = 2
LCM(93828,93838) = ( 93828 × 93838) / 2
LCM(93828,93838) = 8804631864 / 2
LCM(93828,93838) = 4402315932

Least Common Multiple (LCM) of 93828 and 93838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93828 and 93838. First we will calculate the prime factors of 93828 and 93838.

Prime Factorization of 93828

Prime Factorization of 93838

Now multiplying the highest exponent prime factors to calculate the LCM of 93828 and 93838.

LCM(93828,93838) = 2² × 3¹ × 7¹ × 1117¹ × 46919¹
LCM(93828,93838) = 4402315932