What is the Least Common Multiple of 23007 and 23016?

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 23016 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 23016, than apply into the LCM equation.

GCF(23007,23016) = 3
LCM(23007,23016) = ( 23007 × 23016) / 3
LCM(23007,23016) = 529529112 / 3
LCM(23007,23016) = 176509704

Least Common Multiple (LCM) of 23007 and 23016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23007 and 23016. First we will calculate the prime factors of 23007 and 23016.

Prime Factorization of 23007

Prime Factorization of 23016

Now multiplying the highest exponent prime factors to calculate the LCM of 23007 and 23016.

LCM(23007,23016) = 3¹ × 7669¹ × 2³ × 7¹ × 137¹
LCM(23007,23016) = 176509704