What is the Least Common Multiple of 2850 and 2854?

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 2850 and 2854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2850 and 2854, than apply into the LCM equation.

GCF(2850,2854) = 2
LCM(2850,2854) = ( 2850 × 2854) / 2
LCM(2850,2854) = 8133900 / 2
LCM(2850,2854) = 4066950

Least Common Multiple (LCM) of 2850 and 2854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2850 and 2854. First we will calculate the prime factors of 2850 and 2854.

Prime Factorization of 2850

Prime Factorization of 2854

Now multiplying the highest exponent prime factors to calculate the LCM of 2850 and 2854.

LCM(2850,2854) = 2¹ × 3¹ × 5² × 19¹ × 1427¹
LCM(2850,2854) = 4066950