What is the Least Common Multiple of 75792 and 75806?

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 75792 and 75806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75792 and 75806, than apply into the LCM equation.

GCF(75792,75806) = 2
LCM(75792,75806) = ( 75792 × 75806) / 2
LCM(75792,75806) = 5745488352 / 2
LCM(75792,75806) = 2872744176

Least Common Multiple (LCM) of 75792 and 75806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75792 and 75806. First we will calculate the prime factors of 75792 and 75806.

Prime Factorization of 75792

Prime Factorization of 75806

Now multiplying the highest exponent prime factors to calculate the LCM of 75792 and 75806.

LCM(75792,75806) = 2⁴ × 3¹ × 1579¹ × 29¹ × 1307¹
LCM(75792,75806) = 2872744176