What is the Least Common Multiple of 2844 and 2857?

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 2844 and 2857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2844 and 2857, than apply into the LCM equation.

GCF(2844,2857) = 1
LCM(2844,2857) = ( 2844 × 2857) / 1
LCM(2844,2857) = 8125308 / 1
LCM(2844,2857) = 8125308

Least Common Multiple (LCM) of 2844 and 2857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2844 and 2857. First we will calculate the prime factors of 2844 and 2857.

Prime Factorization of 2844

Prime Factorization of 2857

Now multiplying the highest exponent prime factors to calculate the LCM of 2844 and 2857.

LCM(2844,2857) = 2² × 3² × 79¹ × 2857¹
LCM(2844,2857) = 8125308