What is the Least Common Multiple of 58675 and 58680?

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 58675 and 58680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58675 and 58680, than apply into the LCM equation.

GCF(58675,58680) = 5
LCM(58675,58680) = ( 58675 × 58680) / 5
LCM(58675,58680) = 3443049000 / 5
LCM(58675,58680) = 688609800

Least Common Multiple (LCM) of 58675 and 58680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58675 and 58680. First we will calculate the prime factors of 58675 and 58680.

Prime Factorization of 58675

Prime Factorization of 58680

Now multiplying the highest exponent prime factors to calculate the LCM of 58675 and 58680.

LCM(58675,58680) = 5² × 2347¹ × 2³ × 3² × 163¹
LCM(58675,58680) = 688609800