What is the Least Common Multiple of 84768 and 84788?

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 84768 and 84788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84768 and 84788, than apply into the LCM equation.

GCF(84768,84788) = 4
LCM(84768,84788) = ( 84768 × 84788) / 4
LCM(84768,84788) = 7187309184 / 4
LCM(84768,84788) = 1796827296

Least Common Multiple (LCM) of 84768 and 84788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84768 and 84788. First we will calculate the prime factors of 84768 and 84788.

Prime Factorization of 84768

Prime Factorization of 84788

Now multiplying the highest exponent prime factors to calculate the LCM of 84768 and 84788.

LCM(84768,84788) = 2⁵ × 3¹ × 883¹ × 11¹ × 41¹ × 47¹
LCM(84768,84788) = 1796827296