What is the Least Common Multiple of 13158 and 13173?

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 13158 and 13173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13158 and 13173, than apply into the LCM equation.

GCF(13158,13173) = 3
LCM(13158,13173) = ( 13158 × 13173) / 3
LCM(13158,13173) = 173330334 / 3
LCM(13158,13173) = 57776778

Least Common Multiple (LCM) of 13158 and 13173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13158 and 13173. First we will calculate the prime factors of 13158 and 13173.

Prime Factorization of 13158

Prime Factorization of 13173

Now multiplying the highest exponent prime factors to calculate the LCM of 13158 and 13173.

LCM(13158,13173) = 2¹ × 3² × 17¹ × 43¹ × 4391¹
LCM(13158,13173) = 57776778