What is the Least Common Multiple of 93838 and 93846?

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 93838 and 93846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93838 and 93846, than apply into the LCM equation.

GCF(93838,93846) = 2
LCM(93838,93846) = ( 93838 × 93846) / 2
LCM(93838,93846) = 8806320948 / 2
LCM(93838,93846) = 4403160474

Least Common Multiple (LCM) of 93838 and 93846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93838 and 93846. First we will calculate the prime factors of 93838 and 93846.

Prime Factorization of 93838

Prime Factorization of 93846

Now multiplying the highest exponent prime factors to calculate the LCM of 93838 and 93846.

LCM(93838,93846) = 2¹ × 46919¹ × 3¹ × 15641¹
LCM(93838,93846) = 4403160474