What is the Least Common Multiple of 57990 and 58000?

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 58000 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 58000, than apply into the LCM equation.

GCF(57990,58000) = 10
LCM(57990,58000) = ( 57990 × 58000) / 10
LCM(57990,58000) = 3363420000 / 10
LCM(57990,58000) = 336342000

Least Common Multiple (LCM) of 57990 and 58000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57990 and 58000. First we will calculate the prime factors of 57990 and 58000.

Prime Factorization of 57990

Prime Factorization of 58000

Now multiplying the highest exponent prime factors to calculate the LCM of 57990 and 58000.

LCM(57990,58000) = 2⁴ × 3¹ × 5³ × 1933¹ × 29¹
LCM(57990,58000) = 336342000