What is the Least Common Multiple of 58784 and 58788?

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 58784 and 58788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58784 and 58788, than apply into the LCM equation.

GCF(58784,58788) = 4
LCM(58784,58788) = ( 58784 × 58788) / 4
LCM(58784,58788) = 3455793792 / 4
LCM(58784,58788) = 863948448

Least Common Multiple (LCM) of 58784 and 58788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58784 and 58788. First we will calculate the prime factors of 58784 and 58788.

Prime Factorization of 58784

Prime Factorization of 58788

Now multiplying the highest exponent prime factors to calculate the LCM of 58784 and 58788.

LCM(58784,58788) = 2⁵ × 11¹ × 167¹ × 3² × 23¹ × 71¹
LCM(58784,58788) = 863948448