What is the Least Common Multiple of 58857 and 58871?

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 58857 and 58871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58857 and 58871, than apply into the LCM equation.

GCF(58857,58871) = 1
LCM(58857,58871) = ( 58857 × 58871) / 1
LCM(58857,58871) = 3464970447 / 1
LCM(58857,58871) = 3464970447

Least Common Multiple (LCM) of 58857 and 58871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58857 and 58871. First we will calculate the prime factors of 58857 and 58871.

Prime Factorization of 58857

Prime Factorization of 58871

Now multiplying the highest exponent prime factors to calculate the LCM of 58857 and 58871.

LCM(58857,58871) = 3¹ × 23¹ × 853¹ × 17¹ × 3463¹
LCM(58857,58871) = 3464970447