What is the Least Common Multiple of 58857 and 58875?

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 58875 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 58875, than apply into the LCM equation.

GCF(58857,58875) = 3
LCM(58857,58875) = ( 58857 × 58875) / 3
LCM(58857,58875) = 3465205875 / 3
LCM(58857,58875) = 1155068625

Least Common Multiple (LCM) of 58857 and 58875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58857 and 58875. First we will calculate the prime factors of 58857 and 58875.

Prime Factorization of 58857

Prime Factorization of 58875

Now multiplying the highest exponent prime factors to calculate the LCM of 58857 and 58875.

LCM(58857,58875) = 3¹ × 23¹ × 853¹ × 5³ × 157¹
LCM(58857,58875) = 1155068625