What is the Least Common Multiple of 57159 and 57173?

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 57159 and 57173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57159 and 57173, than apply into the LCM equation.

GCF(57159,57173) = 1
LCM(57159,57173) = ( 57159 × 57173) / 1
LCM(57159,57173) = 3267951507 / 1
LCM(57159,57173) = 3267951507

Least Common Multiple (LCM) of 57159 and 57173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57159 and 57173. First we will calculate the prime factors of 57159 and 57173.

Prime Factorization of 57159

Prime Factorization of 57173

Now multiplying the highest exponent prime factors to calculate the LCM of 57159 and 57173.

LCM(57159,57173) = 3³ × 29¹ × 73¹ × 57173¹
LCM(57159,57173) = 3267951507