What is the Least Common Multiple of 12159 and 12173?

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 12159 and 12173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12159 and 12173, than apply into the LCM equation.

GCF(12159,12173) = 7
LCM(12159,12173) = ( 12159 × 12173) / 7
LCM(12159,12173) = 148011507 / 7
LCM(12159,12173) = 21144501

Least Common Multiple (LCM) of 12159 and 12173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12159 and 12173. First we will calculate the prime factors of 12159 and 12173.

Prime Factorization of 12159

Prime Factorization of 12173

Now multiplying the highest exponent prime factors to calculate the LCM of 12159 and 12173.

LCM(12159,12173) = 3² × 7¹ × 193¹ × 37¹ × 47¹
LCM(12159,12173) = 21144501