What is the Least Common Multiple of 16167 and 16173?

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 16167 and 16173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16167 and 16173, than apply into the LCM equation.

GCF(16167,16173) = 3
LCM(16167,16173) = ( 16167 × 16173) / 3
LCM(16167,16173) = 261468891 / 3
LCM(16167,16173) = 87156297

Least Common Multiple (LCM) of 16167 and 16173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16167 and 16173. First we will calculate the prime factors of 16167 and 16173.

Prime Factorization of 16167

Prime Factorization of 16173

Now multiplying the highest exponent prime factors to calculate the LCM of 16167 and 16173.

LCM(16167,16173) = 3³ × 17¹ × 317¹ × 599¹
LCM(16167,16173) = 87156297