What is the Least Common Multiple of 58800 and 58813?

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 58800 and 58813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58800 and 58813, than apply into the LCM equation.

GCF(58800,58813) = 1
LCM(58800,58813) = ( 58800 × 58813) / 1
LCM(58800,58813) = 3458204400 / 1
LCM(58800,58813) = 3458204400

Least Common Multiple (LCM) of 58800 and 58813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58800 and 58813. First we will calculate the prime factors of 58800 and 58813.

Prime Factorization of 58800

Prime Factorization of 58813

Now multiplying the highest exponent prime factors to calculate the LCM of 58800 and 58813.

LCM(58800,58813) = 2⁴ × 3¹ × 5² × 7² × 103¹ × 571¹
LCM(58800,58813) = 3458204400