What is the Least Common Multiple of 38008 and 38014?

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 38008 and 38014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38008 and 38014, than apply into the LCM equation.

GCF(38008,38014) = 2
LCM(38008,38014) = ( 38008 × 38014) / 2
LCM(38008,38014) = 1444836112 / 2
LCM(38008,38014) = 722418056

Least Common Multiple (LCM) of 38008 and 38014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38008 and 38014. First we will calculate the prime factors of 38008 and 38014.

Prime Factorization of 38008

Prime Factorization of 38014

Now multiplying the highest exponent prime factors to calculate the LCM of 38008 and 38014.

LCM(38008,38014) = 2³ × 4751¹ × 83¹ × 229¹
LCM(38008,38014) = 722418056