What is the Least Common Multiple of 36859 and 36871?

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 36859 and 36871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36859 and 36871, than apply into the LCM equation.

GCF(36859,36871) = 1
LCM(36859,36871) = ( 36859 × 36871) / 1
LCM(36859,36871) = 1359028189 / 1
LCM(36859,36871) = 1359028189

Least Common Multiple (LCM) of 36859 and 36871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36859 and 36871. First we will calculate the prime factors of 36859 and 36871.

Prime Factorization of 36859

Prime Factorization of 36871

Now multiplying the highest exponent prime factors to calculate the LCM of 36859 and 36871.

LCM(36859,36871) = 29¹ × 31¹ × 41¹ × 36871¹
LCM(36859,36871) = 1359028189