What is the Least Common Multiple of 4854 and 4872?

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 4854 and 4872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4854 and 4872, than apply into the LCM equation.

GCF(4854,4872) = 6
LCM(4854,4872) = ( 4854 × 4872) / 6
LCM(4854,4872) = 23648688 / 6
LCM(4854,4872) = 3941448

Least Common Multiple (LCM) of 4854 and 4872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4854 and 4872. First we will calculate the prime factors of 4854 and 4872.

Prime Factorization of 4854

Prime Factorization of 4872

Now multiplying the highest exponent prime factors to calculate the LCM of 4854 and 4872.

LCM(4854,4872) = 2³ × 3¹ × 809¹ × 7¹ × 29¹
LCM(4854,4872) = 3941448