What is the Least Common Multiple of 58809 and 58828?

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 58809 and 58828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58809 and 58828, than apply into the LCM equation.

GCF(58809,58828) = 1
LCM(58809,58828) = ( 58809 × 58828) / 1
LCM(58809,58828) = 3459615852 / 1
LCM(58809,58828) = 3459615852

Least Common Multiple (LCM) of 58809 and 58828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58809 and 58828. First we will calculate the prime factors of 58809 and 58828.

Prime Factorization of 58809

Prime Factorization of 58828

Now multiplying the highest exponent prime factors to calculate the LCM of 58809 and 58828.

LCM(58809,58828) = 3¹ × 19603¹ × 2² × 7¹ × 11¹ × 191¹
LCM(58809,58828) = 3459615852