What is the Least Common Multiple of 93846 and 93852?

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 93846 and 93852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93846 and 93852, than apply into the LCM equation.

GCF(93846,93852) = 6
LCM(93846,93852) = ( 93846 × 93852) / 6
LCM(93846,93852) = 8807634792 / 6
LCM(93846,93852) = 1467939132

Least Common Multiple (LCM) of 93846 and 93852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93846 and 93852. First we will calculate the prime factors of 93846 and 93852.

Prime Factorization of 93846

Prime Factorization of 93852

Now multiplying the highest exponent prime factors to calculate the LCM of 93846 and 93852.

LCM(93846,93852) = 2² × 3³ × 15641¹ × 11¹ × 79¹
LCM(93846,93852) = 1467939132