What is the Least Common Multiple of 38988 and 39008?

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 38988 and 39008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38988 and 39008, than apply into the LCM equation.

GCF(38988,39008) = 4
LCM(38988,39008) = ( 38988 × 39008) / 4
LCM(38988,39008) = 1520843904 / 4
LCM(38988,39008) = 380210976

Least Common Multiple (LCM) of 38988 and 39008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38988 and 39008. First we will calculate the prime factors of 38988 and 39008.

Prime Factorization of 38988

Prime Factorization of 39008

Now multiplying the highest exponent prime factors to calculate the LCM of 38988 and 39008.

LCM(38988,39008) = 2⁵ × 3³ × 19² × 23¹ × 53¹
LCM(38988,39008) = 380210976