What is the Least Common Multiple of 2989 and 3006?

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 2989 and 3006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2989 and 3006, than apply into the LCM equation.

GCF(2989,3006) = 1
LCM(2989,3006) = ( 2989 × 3006) / 1
LCM(2989,3006) = 8984934 / 1
LCM(2989,3006) = 8984934

Least Common Multiple (LCM) of 2989 and 3006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2989 and 3006. First we will calculate the prime factors of 2989 and 3006.

Prime Factorization of 2989

Prime Factorization of 3006

Now multiplying the highest exponent prime factors to calculate the LCM of 2989 and 3006.

LCM(2989,3006) = 7² × 61¹ × 2¹ × 3² × 167¹
LCM(2989,3006) = 8984934