What is the Least Common Multiple of 2989 and 3008?

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 3008 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 3008, than apply into the LCM equation.

GCF(2989,3008) = 1
LCM(2989,3008) = ( 2989 × 3008) / 1
LCM(2989,3008) = 8990912 / 1
LCM(2989,3008) = 8990912

Least Common Multiple (LCM) of 2989 and 3008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2989 and 3008. First we will calculate the prime factors of 2989 and 3008.

Prime Factorization of 2989

Prime Factorization of 3008

Now multiplying the highest exponent prime factors to calculate the LCM of 2989 and 3008.

LCM(2989,3008) = 7² × 61¹ × 2⁶ × 47¹
LCM(2989,3008) = 8990912