What is the Least Common Multiple of 57993 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 57993 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 57993 and 58000, than apply into the LCM equation.

GCF(57993,58000) = 1
LCM(57993,58000) = ( 57993 × 58000) / 1
LCM(57993,58000) = 3363594000 / 1
LCM(57993,58000) = 3363594000

Least Common Multiple (LCM) of 57993 and 58000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57993 and 58000. First we will calculate the prime factors of 57993 and 58000.

Prime Factorization of 57993

Prime Factorization of 58000

Now multiplying the highest exponent prime factors to calculate the LCM of 57993 and 58000.

LCM(57993,58000) = 3¹ × 13¹ × 1487¹ × 2⁴ × 5³ × 29¹
LCM(57993,58000) = 3363594000