What is the Least Common Multiple of 2889 and 2893?

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 2889 and 2893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2889 and 2893, than apply into the LCM equation.

GCF(2889,2893) = 1
LCM(2889,2893) = ( 2889 × 2893) / 1
LCM(2889,2893) = 8357877 / 1
LCM(2889,2893) = 8357877

Least Common Multiple (LCM) of 2889 and 2893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2889 and 2893. First we will calculate the prime factors of 2889 and 2893.

Prime Factorization of 2889

Prime Factorization of 2893

Now multiplying the highest exponent prime factors to calculate the LCM of 2889 and 2893.

LCM(2889,2893) = 3³ × 107¹ × 11¹ × 263¹
LCM(2889,2893) = 8357877