What is the Least Common Multiple of 75852 and 75856?

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 75856 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 75856, than apply into the LCM equation.

GCF(75852,75856) = 4
LCM(75852,75856) = ( 75852 × 75856) / 4
LCM(75852,75856) = 5753829312 / 4
LCM(75852,75856) = 1438457328

Least Common Multiple (LCM) of 75852 and 75856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75852 and 75856. First we will calculate the prime factors of 75852 and 75856.

Prime Factorization of 75852

Prime Factorization of 75856

Now multiplying the highest exponent prime factors to calculate the LCM of 75852 and 75856.

LCM(75852,75856) = 2⁴ × 3² × 7² × 43¹ × 11¹ × 431¹
LCM(75852,75856) = 1438457328