What is the Least Common Multiple of 30843 and 30852?

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 30843 and 30852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30843 and 30852, than apply into the LCM equation.

GCF(30843,30852) = 9
LCM(30843,30852) = ( 30843 × 30852) / 9
LCM(30843,30852) = 951568236 / 9
LCM(30843,30852) = 105729804

Least Common Multiple (LCM) of 30843 and 30852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30843 and 30852. First we will calculate the prime factors of 30843 and 30852.

Prime Factorization of 30843

Prime Factorization of 30852

Now multiplying the highest exponent prime factors to calculate the LCM of 30843 and 30852.

LCM(30843,30852) = 3² × 23¹ × 149¹ × 2² × 857¹
LCM(30843,30852) = 105729804