What is the Least Common Multiple of 23000 and 23007?

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 23000 and 23007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23000 and 23007, than apply into the LCM equation.

GCF(23000,23007) = 1
LCM(23000,23007) = ( 23000 × 23007) / 1
LCM(23000,23007) = 529161000 / 1
LCM(23000,23007) = 529161000

Least Common Multiple (LCM) of 23000 and 23007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23000 and 23007. First we will calculate the prime factors of 23000 and 23007.

Prime Factorization of 23000

Prime Factorization of 23007

Now multiplying the highest exponent prime factors to calculate the LCM of 23000 and 23007.

LCM(23000,23007) = 2³ × 5³ × 23¹ × 3¹ × 7669¹
LCM(23000,23007) = 529161000