What is the Least Common Multiple of 22008 and 22014?

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 22008 and 22014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22008 and 22014, than apply into the LCM equation.

GCF(22008,22014) = 6
LCM(22008,22014) = ( 22008 × 22014) / 6
LCM(22008,22014) = 484484112 / 6
LCM(22008,22014) = 80747352

Least Common Multiple (LCM) of 22008 and 22014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22008 and 22014. First we will calculate the prime factors of 22008 and 22014.

Prime Factorization of 22008

Prime Factorization of 22014

Now multiplying the highest exponent prime factors to calculate the LCM of 22008 and 22014.

LCM(22008,22014) = 2³ × 3² × 7¹ × 131¹ × 1223¹
LCM(22008,22014) = 80747352