What is the Least Common Multiple of 23004 and 23008?

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 23004 and 23008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23004 and 23008, than apply into the LCM equation.

GCF(23004,23008) = 4
LCM(23004,23008) = ( 23004 × 23008) / 4
LCM(23004,23008) = 529276032 / 4
LCM(23004,23008) = 132319008

Least Common Multiple (LCM) of 23004 and 23008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23004 and 23008. First we will calculate the prime factors of 23004 and 23008.

Prime Factorization of 23004

Prime Factorization of 23008

Now multiplying the highest exponent prime factors to calculate the LCM of 23004 and 23008.

LCM(23004,23008) = 2⁵ × 3⁴ × 71¹ × 719¹
LCM(23004,23008) = 132319008