What is the Least Common Multiple of 23008 and 23014?

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 23008 and 23014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23008 and 23014, than apply into the LCM equation.

GCF(23008,23014) = 2
LCM(23008,23014) = ( 23008 × 23014) / 2
LCM(23008,23014) = 529506112 / 2
LCM(23008,23014) = 264753056

Least Common Multiple (LCM) of 23008 and 23014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23008 and 23014. First we will calculate the prime factors of 23008 and 23014.

Prime Factorization of 23008

Prime Factorization of 23014

Now multiplying the highest exponent prime factors to calculate the LCM of 23008 and 23014.

LCM(23008,23014) = 2⁵ × 719¹ × 37¹ × 311¹
LCM(23008,23014) = 264753056