What is the Least Common Multiple of 14008 and 14024?

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 14008 and 14024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14008 and 14024, than apply into the LCM equation.

GCF(14008,14024) = 8
LCM(14008,14024) = ( 14008 × 14024) / 8
LCM(14008,14024) = 196448192 / 8
LCM(14008,14024) = 24556024

Least Common Multiple (LCM) of 14008 and 14024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14008 and 14024. First we will calculate the prime factors of 14008 and 14024.

Prime Factorization of 14008

Prime Factorization of 14024

Now multiplying the highest exponent prime factors to calculate the LCM of 14008 and 14024.

LCM(14008,14024) = 2³ × 17¹ × 103¹ × 1753¹
LCM(14008,14024) = 24556024