What is the Least Common Multiple of 58794 and 58810?

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 58794 and 58810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58794 and 58810, than apply into the LCM equation.

GCF(58794,58810) = 2
LCM(58794,58810) = ( 58794 × 58810) / 2
LCM(58794,58810) = 3457675140 / 2
LCM(58794,58810) = 1728837570

Least Common Multiple (LCM) of 58794 and 58810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58794 and 58810. First we will calculate the prime factors of 58794 and 58810.

Prime Factorization of 58794

Prime Factorization of 58810

Now multiplying the highest exponent prime factors to calculate the LCM of 58794 and 58810.

LCM(58794,58810) = 2¹ × 3¹ × 41¹ × 239¹ × 5¹ × 5881¹
LCM(58794,58810) = 1728837570