What is the Least Common Multiple of 58875 and 58884?

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 58875 and 58884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58875 and 58884, than apply into the LCM equation.

GCF(58875,58884) = 3
LCM(58875,58884) = ( 58875 × 58884) / 3
LCM(58875,58884) = 3466795500 / 3
LCM(58875,58884) = 1155598500

Least Common Multiple (LCM) of 58875 and 58884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58875 and 58884. First we will calculate the prime factors of 58875 and 58884.

Prime Factorization of 58875

Prime Factorization of 58884

Now multiplying the highest exponent prime factors to calculate the LCM of 58875 and 58884.

LCM(58875,58884) = 3¹ × 5³ × 157¹ × 2² × 7¹ × 701¹
LCM(58875,58884) = 1155598500