What is the Least Common Multiple of 2854 and 2874?

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 2854 and 2874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2854 and 2874, than apply into the LCM equation.

GCF(2854,2874) = 2
LCM(2854,2874) = ( 2854 × 2874) / 2
LCM(2854,2874) = 8202396 / 2
LCM(2854,2874) = 4101198

Least Common Multiple (LCM) of 2854 and 2874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2854 and 2874. First we will calculate the prime factors of 2854 and 2874.

Prime Factorization of 2854

Prime Factorization of 2874

Now multiplying the highest exponent prime factors to calculate the LCM of 2854 and 2874.

LCM(2854,2874) = 2¹ × 1427¹ × 3¹ × 479¹
LCM(2854,2874) = 4101198