What is the Least Common Multiple of 57990 and 58005?

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 57990 and 58005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57990 and 58005, than apply into the LCM equation.

GCF(57990,58005) = 15
LCM(57990,58005) = ( 57990 × 58005) / 15
LCM(57990,58005) = 3363709950 / 15
LCM(57990,58005) = 224247330

Least Common Multiple (LCM) of 57990 and 58005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57990 and 58005. First we will calculate the prime factors of 57990 and 58005.

Prime Factorization of 57990

Prime Factorization of 58005

Now multiplying the highest exponent prime factors to calculate the LCM of 57990 and 58005.

LCM(57990,58005) = 2¹ × 3² × 5¹ × 1933¹ × 1289¹
LCM(57990,58005) = 224247330