What is the Least Common Multiple of 4008 and 4014?

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 4008 and 4014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4008 and 4014, than apply into the LCM equation.

GCF(4008,4014) = 6
LCM(4008,4014) = ( 4008 × 4014) / 6
LCM(4008,4014) = 16088112 / 6
LCM(4008,4014) = 2681352

Least Common Multiple (LCM) of 4008 and 4014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4008 and 4014. First we will calculate the prime factors of 4008 and 4014.

Prime Factorization of 4008

Prime Factorization of 4014

Now multiplying the highest exponent prime factors to calculate the LCM of 4008 and 4014.

LCM(4008,4014) = 2³ × 3² × 167¹ × 223¹
LCM(4008,4014) = 2681352