What is the Least Common Multiple of 4854 and 4874?

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 4874 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 4874, than apply into the LCM equation.

GCF(4854,4874) = 2
LCM(4854,4874) = ( 4854 × 4874) / 2
LCM(4854,4874) = 23658396 / 2
LCM(4854,4874) = 11829198

Least Common Multiple (LCM) of 4854 and 4874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4854 and 4874. First we will calculate the prime factors of 4854 and 4874.

Prime Factorization of 4854

Prime Factorization of 4874

Now multiplying the highest exponent prime factors to calculate the LCM of 4854 and 4874.

LCM(4854,4874) = 2¹ × 3¹ × 809¹ × 2437¹
LCM(4854,4874) = 11829198