What is the Least Common Multiple of 3008 and 3027?

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 3008 and 3027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3008 and 3027, than apply into the LCM equation.

GCF(3008,3027) = 1
LCM(3008,3027) = ( 3008 × 3027) / 1
LCM(3008,3027) = 9105216 / 1
LCM(3008,3027) = 9105216

Least Common Multiple (LCM) of 3008 and 3027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3008 and 3027. First we will calculate the prime factors of 3008 and 3027.

Prime Factorization of 3008

Prime Factorization of 3027

Now multiplying the highest exponent prime factors to calculate the LCM of 3008 and 3027.

LCM(3008,3027) = 2⁶ × 47¹ × 3¹ × 1009¹
LCM(3008,3027) = 9105216