What is the Least Common Multiple of 75852 and 75857?

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 75852 and 75857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75852 and 75857, than apply into the LCM equation.

GCF(75852,75857) = 1
LCM(75852,75857) = ( 75852 × 75857) / 1
LCM(75852,75857) = 5753905164 / 1
LCM(75852,75857) = 5753905164

Least Common Multiple (LCM) of 75852 and 75857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75852 and 75857. First we will calculate the prime factors of 75852 and 75857.

Prime Factorization of 75852

Prime Factorization of 75857

Now multiplying the highest exponent prime factors to calculate the LCM of 75852 and 75857.

LCM(75852,75857) = 2² × 3² × 7² × 43¹ × 31¹ × 2447¹
LCM(75852,75857) = 5753905164