What is the Least Common Multiple of 4865 and 4875?

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 4865 and 4875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4865 and 4875, than apply into the LCM equation.

GCF(4865,4875) = 5
LCM(4865,4875) = ( 4865 × 4875) / 5
LCM(4865,4875) = 23716875 / 5
LCM(4865,4875) = 4743375

Least Common Multiple (LCM) of 4865 and 4875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4865 and 4875. First we will calculate the prime factors of 4865 and 4875.

Prime Factorization of 4865

Prime Factorization of 4875

Now multiplying the highest exponent prime factors to calculate the LCM of 4865 and 4875.

LCM(4865,4875) = 5³ × 7¹ × 139¹ × 3¹ × 13¹
LCM(4865,4875) = 4743375