What is the Least Common Multiple of 23007 and 23012?

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 23007 and 23012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23007 and 23012, than apply into the LCM equation.

GCF(23007,23012) = 1
LCM(23007,23012) = ( 23007 × 23012) / 1
LCM(23007,23012) = 529437084 / 1
LCM(23007,23012) = 529437084

Least Common Multiple (LCM) of 23007 and 23012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23007 and 23012. First we will calculate the prime factors of 23007 and 23012.

Prime Factorization of 23007

Prime Factorization of 23012

Now multiplying the highest exponent prime factors to calculate the LCM of 23007 and 23012.

LCM(23007,23012) = 3¹ × 7669¹ × 2² × 11¹ × 523¹
LCM(23007,23012) = 529437084