What is the Least Common Multiple of 2993 and 3000?

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 2993 and 3000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2993 and 3000, than apply into the LCM equation.

GCF(2993,3000) = 1
LCM(2993,3000) = ( 2993 × 3000) / 1
LCM(2993,3000) = 8979000 / 1
LCM(2993,3000) = 8979000

Least Common Multiple (LCM) of 2993 and 3000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2993 and 3000. First we will calculate the prime factors of 2993 and 3000.

Prime Factorization of 2993

Prime Factorization of 3000

Now multiplying the highest exponent prime factors to calculate the LCM of 2993 and 3000.

LCM(2993,3000) = 41¹ × 73¹ × 2³ × 3¹ × 5³
LCM(2993,3000) = 8979000