What is the Least Common Multiple of 4875 and 4884?

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 4875 and 4884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4875 and 4884, than apply into the LCM equation.

GCF(4875,4884) = 3
LCM(4875,4884) = ( 4875 × 4884) / 3
LCM(4875,4884) = 23809500 / 3
LCM(4875,4884) = 7936500

Least Common Multiple (LCM) of 4875 and 4884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4875 and 4884. First we will calculate the prime factors of 4875 and 4884.

Prime Factorization of 4875

Prime Factorization of 4884

Now multiplying the highest exponent prime factors to calculate the LCM of 4875 and 4884.

LCM(4875,4884) = 3¹ × 5³ × 13¹ × 2² × 11¹ × 37¹
LCM(4875,4884) = 7936500