What is the Least Common Multiple of 32859 and 32873?

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 32859 and 32873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32859 and 32873, than apply into the LCM equation.

GCF(32859,32873) = 1
LCM(32859,32873) = ( 32859 × 32873) / 1
LCM(32859,32873) = 1080173907 / 1
LCM(32859,32873) = 1080173907

Least Common Multiple (LCM) of 32859 and 32873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32859 and 32873. First we will calculate the prime factors of 32859 and 32873.

Prime Factorization of 32859

Prime Factorization of 32873

Now multiplying the highest exponent prime factors to calculate the LCM of 32859 and 32873.

LCM(32859,32873) = 3³ × 1217¹ × 71¹ × 463¹
LCM(32859,32873) = 1080173907