What is the Least Common Multiple of 39008 and 39027?

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 39008 and 39027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39008 and 39027, than apply into the LCM equation.

GCF(39008,39027) = 1
LCM(39008,39027) = ( 39008 × 39027) / 1
LCM(39008,39027) = 1522365216 / 1
LCM(39008,39027) = 1522365216

Least Common Multiple (LCM) of 39008 and 39027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39008 and 39027. First we will calculate the prime factors of 39008 and 39027.

Prime Factorization of 39008

Prime Factorization of 39027

Now multiplying the highest exponent prime factors to calculate the LCM of 39008 and 39027.

LCM(39008,39027) = 2⁵ × 23¹ × 53¹ × 3¹ × 13009¹
LCM(39008,39027) = 1522365216